In [9]:
import numpy as np
import research
import view
import lib.gradients as grad
import lib.data as data
import matplotlib.pyplot as plt
import decompozition
import lib.mesurements
%matplotlib inline
In [10]:
def poisson_noised(im):
step = im.min()
if (step < 0):
im -= step
noise_mask = np.random.poisson(im)
if (step < 0):
im += step
return noise_mask
In [182]:
def my_exp(x,y,w1,w2):
if (w1 == 0):
return np.exp( w2*1j*y)
return np.exp(w1*1j*x + w2*1j*y)
cпектр комлексной экспоненты с индексом i,j
In [164]:
x,y = data.get_plane(-np.pi, np.pi,-np.pi,np.pi,8)
In [262]:
im = my_exp(x,y,150,8)
In [279]:
f, axarr = plt.subplots(1,1,figsize=(15,15))
plt.imshow(np.abs(np.fft.fft2(im)), cmap='gray')
print(np.abs(np.fft.fft2(im))[8][150])
print(np.max(np.abs(np.fft.fft2(im))))
34054.598226 48649.2105513
In [248]:
grad_X, grad_Y = grad.fried_model_gradient(im)
X_H, Y_H = grad.Hudgin_gradien_model(im)
LH, HL, HH = decompozition.analyze(grad_X, grad_Y, X_H, Y_H)
res = decompozition.syntesis({0:np.array([[np.mean(im)*2**8]])}, LH, HL, HH,8)
In [347]:
f, axarr = plt.subplots(1,1,figsize=(15,15))
plt.imshow(np.abs(np.fft.fft2(res[8])), cmap='gray')
Out[347]:
<matplotlib.image.AxesImage at 0x7f3828beb4e0>
In [251]:
np.max(np.abs(np.fft.fft2(res[8])))
Out[251]:
46934.692702399123
In [253]:
np.abs(np.fft.fft2(im)[100,256-51])
Out[253]:
46934.692702399123
to do¶
исправить баг, с индексами i,j
функция compare вычисляет $e^{(1j*i*x, 1j*j*y)}$ на сеткe 2M x 2M. затем находя градиенты , вычисляет значение функции. noised определяет будет ли зашумлена функция. возвращает отношение спектров исходного и восстановленного сигналов. т.к. спектр комлескной экспоненты exp(1jix, 1jjy) дельта функция, всё значение сосредоточено в окрестности точки i,j. 2 варианта , что возвращает функция : 1.отношение cпектров на [i,j] позиции 2.отнощение максимумов спекторов
ниже 2 варианта.
In [359]:
def compare(i,j,M, noised = False):
x,y = data.get_plane(-np.pi, np.pi,-np.pi,np.pi,M)
im = my_exp(x,y,i,j)
grad_X, grad_Y = grad.fried_model_gradient(im)
X_H, Y_H = grad.Hudgin_gradien_model(im)
if (noised):
#как зашумлять комплексные числа?
grad_X = poisson_noised(grad_X.real) + 1j*poisson_noised(grad_X.imag)
grad_Y = poisson_noised(grad_Y.real) + 1j*poisson_noised(grad_Y.imag)
X_H = poisson_noised(X_H.real) + 1j*poisson_noised(X_H.imag)
Y_H = poisson_noised(Y_H.real) + 1j*poisson_noised(Y_H.imag)
LH, HL, HH = decompozition.analyze(grad_X, grad_Y, X_H, Y_H)
res = decompozition.syntesis({0:np.array([[np.mean(im)*2**M]])}, LH, HL, HH,M)
print(np.abs(np.fft.fft2(im)[j,i]), np.abs(np.fft.fft2(res[M])[j,i]))
print(np.max(np.abs(np.fft.fft2(im))), np.max(np.abs(np.fft.fft2(res[M]))))
return np.abs(np.fft.fft2(im)[j,i])/np.abs(np.fft.fft2(res[M])[j,i])
#return np.max(np.abs(np.fft.fft2(im))) / np.max(np.abs(np.fft.fft2(res[M])))
In [295]:
compare(0,150,8)
34109.794486 34109.794486 48728.0620021 48728.0620021
Out[295]:
0.99999999999999989
In [343]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
for j in range(64):
z[i,j] = compare(i,j,6)
4096.0 4096.0 4096.0 4096.0 4094.30305668 4094.30305668 4094.30305668 4094.30305668 4089.21475671 4089.21475671 4089.21475671 4089.21475671 4080.74268549 4080.74268549 4080.74268549 4080.74268549 4068.89947044 4068.89947044 4068.89947044 4068.89947044 4053.70275857 4053.70275857 4053.70275857 4053.70275857 4035.17518516 4035.17518516 4035.17518516 4035.17518516 4013.34433366 4013.34433366 4013.34433366 4013.34433366 3988.24268676 3988.24268676 3988.24268676 3988.24268676 3959.90756884 3959.90756884 3959.90756884 3959.90756884 3928.38107981 3928.38107981 3928.38107981 3928.38107981 3893.7100206 3893.7100206 3893.7100206 3893.7100206 3855.9458103 3855.9458103 3855.9458103 3855.9458103 3815.14439517 3815.14439517 3815.14439517 3815.14439517 3771.36614979 3771.36614979 3771.36614979 3771.36614979 3724.6757703 3724.6757703 3724.6757703 3724.6757703 3675.14216026 3675.14216026 3675.14216026 3675.14216026 3622.83830902 3622.83830902 3622.83830902 3622.83830902 3567.8411631 3567.8411631 3567.8411631 3567.8411631 3510.23149066 3510.23149066 3510.23149066 3510.23149066 3450.0937394 3450.0937394 3450.0937394 3450.0937394 3387.51588814 3387.51588814 3387.51588814 3387.51588814 3322.58929233 3322.58929233 3322.58929233 3322.58929233 3255.40852391 3255.40852391 3255.40852391 3255.40852391 3186.07120562 3186.07120562 3186.07120562 3186.07120562 3114.67784032 3114.67784032 3114.67784032 3114.67784032 3041.33163542 3041.33163542 3041.33163542 3041.33163542 2966.13832292 2966.13832292 2966.13832292 2966.13832292 2889.20597532 2889.20597532 2889.20597532 2889.20597532 2810.64481779 2810.64481779 2810.64481779 2810.64481779 2730.56703691 2730.56703691 2730.56703691 2730.56703691 2649.08658642 2649.08658642 2649.08658642 2649.08658642 2566.31899027 2566.31899027 2649.08658642 2649.08658642 2482.3811434 2482.3811434 2730.56703691 2730.56703691 2397.39111057 2397.39111057 2810.64481779 2810.64481779 2311.46792376 2311.46792376 2889.20597532 2889.20597532 2224.73137826 2224.73137826 2966.13832292 2966.13832292 2137.30182815 2137.30182815 3041.33163542 3041.33163542 2049.29998133 2049.29998133 3114.67784032 3114.67784032 1960.84669452 1960.84669452 3186.07120562 3186.07120562 1872.06276876 1872.06276876 3255.40852391 3255.40852391 1783.06874558 1783.06874558 3322.58929233 3322.58929233 1693.9847044 1693.9847044 3387.51588814 3387.51588814 1604.9300614 1604.9300614 3450.0937394 3450.0937394 1516.02337035 1516.02337035 3510.23149066 3510.23149066 1427.38212571 1427.38212571 3567.8411631 3567.8411631 1339.12256835 1339.12256835 3622.83830902 3622.83830902 1251.35949426 1251.35949426 3675.14216026 3675.14216026 1164.20606669 1164.20606669 3724.6757703 3724.6757703 1077.77363188 1077.77363188 3771.36614979 3771.36614979 992.171538904 992.171538904 3815.14439517 3815.14439517 907.506963813 907.506963813 3855.9458103 3855.9458103 823.884738519 823.884738519 3893.7100206 3893.7100206 741.407184615 741.407184615 3928.38107981 3928.38107981 660.173952496 660.173952496 3959.90756884 3959.90756884 580.281866057 580.281866057 3988.24268676 3988.24268676 501.824773225 501.824773225 4013.34433366 4013.34433366 424.893402606 424.893402606 4035.17518516 4035.17518516 349.575226484 349.575226484 4053.70275857 4053.70275857 275.954330419 275.954330419 4068.89947044 4068.89947044 204.11128966 204.11128966 4080.74268549 4080.74268549 134.123052585 134.123052585 4089.21475671 4089.21475671 66.0628313595 66.0628313595 4094.30305668 4094.30305668 9.62158076667e-12 9.62158076667e-12 4096.0 4096.0 4094.30305668 4094.30305668 4094.30305668 4094.30305668 4092.6068164 4092.6068164 4092.6068164 4092.6068164 4087.52062447 4087.52062447 4087.52062447 4087.52062447 4079.05206317 4079.05206317 4079.05206317 4079.05206317 4067.21375468 4067.21375468 4067.21375468 4067.21375468 4052.02333869 4052.02333869 4052.02333869 4052.02333869 4033.50344113 4033.50344113 4033.50344113 4033.50344113 4011.68163399 4011.68163399 4011.68163399 4011.68163399 3986.59038653 3986.59038653 3986.59038653 3986.59038653 3958.26700764 3958.26700764 3958.26700764 3958.26700764 3926.75357981 3926.75357981 3926.75357981 3926.75357981 3892.09688457 3892.09688457 3892.09688457 3892.09688457 3854.34831971 3854.34831971 3854.34831971 3854.34831971 3813.56380831 3813.56380831 3813.56380831 3813.56380831 3769.80369994 3769.80369994 3769.80369994 3769.80369994 3723.13266394 3723.13266394 3723.13266394 3723.13266394 3673.61957531 3673.61957531 3673.61957531 3673.61957531 3621.33739318 3621.33739318 3621.33739318 3621.33739318 3566.36303219 3566.36303219 3566.36303219 3566.36303219 3508.77722702 3508.77722702 3508.77722702 3508.77722702 3448.6643904 3448.6643904 3448.6643904 3448.6643904 3386.11246469 3386.11246469 3386.11246469 3386.11246469 3321.21276751 3321.21276751 3321.21276751 3321.21276751 3254.05983159 3254.05983159 3254.05983159 3254.05983159 3184.75123925 3184.75123925 3184.75123925 3184.75123925 3113.38745171 3113.38745171 3113.38745171 3113.38745171 3040.07163362 3040.07163362 3040.07163362 3040.07163362 2964.90947316 2964.90947316 2964.90947316 2964.90947316 2888.00899808 2888.00899808 2888.00899808 2888.00899808 2809.48038787 2809.48038787 2809.48038787 2809.48038787 2729.43578264 2729.43578264 2729.43578264 2729.43578264 2647.98908892 2647.98908892 2647.98908892 2647.98908892 2565.25578279 2565.25578279 2647.98908892 2647.98908892 2481.35271076 2481.35271076 2729.43578264 2729.43578264 2396.39788869 2396.39788869 2809.48038787 2809.48038787 2310.51029924 2310.51029924 2888.00899808 2888.00899808 2223.80968806 2223.80968806 2964.90947316 2964.90947316 2136.41635939 2136.41635939 3040.07163362 3040.07163362 2048.4509711 2048.4509711 3113.38745171 3113.38745171 1960.03432985 1960.03432985 3184.75123925 3184.75123925 1871.28718663 1871.28718663 3254.05983159 3254.05983159 1782.33003304 1782.33003304 3321.21276751 3321.21276751 1693.28289873 1693.28289873 3386.11246469 3386.11246469 1604.26515043 1604.26515043 3448.6643904 3448.6643904 1515.39529278 1515.39529278 3508.77722702 3508.77722702 1426.79077157 1426.79077157 3566.36303219 3566.36303219 1338.56777951 1338.56777951 3621.33739318 3621.33739318 1250.84106503 1250.84106503 3673.61957531 3673.61957531 1163.7237445 1163.7237445 3723.13266394 3723.13266394 1077.32711803 1077.32711803 3769.80369994 3769.80369994 991.760489377 991.760489377 3813.56380831 3813.56380831 907.130990211 907.130990211 3854.34831971 3854.34831971 823.543409003 823.543409003 3892.09688457 3892.09688457 741.100024955 741.100024955 3926.75357981 3926.75357981 659.90044718 659.90044718 3958.26700764 3958.26700764 580.041459457 580.041459457 3986.59038653 3986.59038653 501.616870834 501.616870834 4011.68163399 4011.68163399 424.717372328 424.717372328 4033.50344113 4033.50344113 349.430399984 349.430399984 4052.02333869 4052.02333869 275.840004526 275.840004526 4067.21375468 4067.21375468 204.026727822 204.026727822 4079.05206317 4079.05206317 134.06748637 134.06748637 4087.52062447 4087.52062447 66.035462004 66.035462004 4092.6068164 4092.6068164 9.56458178488e-12 9.43964815073e-12 4094.30305668 4094.30305668 4089.21475671 4089.21475671 4089.21475671 4089.21475671 4087.52062447 4087.52062447 4087.52062447 4087.52062447 4082.44075354 4082.44075354 4082.44075354 4082.44075354 4073.98271676 4073.98271676 4073.98271676 4073.98271676 4062.15912063 4062.15912063 4062.15912063 4062.15912063 4046.98758292 4046.98758292 4046.98758292 4046.98758292 4028.49070143 4028.49070143 4028.49070143 4028.49070143 4006.6960139 4006.6960139 4006.6960139 4006.6960139 3981.63594923 3981.63594923 3981.63594923 3981.63594923 3953.34776994 3953.34776994 3953.34776994 3953.34776994 3921.87350623 3921.87350623 3921.87350623 3921.87350623 3887.25988149 3887.25988149 3887.25988149 3887.25988149 3849.55822963 3849.55822963 3849.55822963 3849.55822963 3808.82440423 3808.82440423 3808.82440423 3808.82440423 3765.11867985 3765.11867985 3765.11867985 3765.11867985 3718.50564547 3718.50564547 3718.50564547 3718.50564547 3669.05409051 3669.05409051 3669.05409051 3669.05409051 3616.8368834 3616.8368834 3616.8368834 3616.8368834 3561.9308432 3561.9308432 3561.9308432 3561.9308432 3504.41660427 3504.41660427 3504.41660427 3504.41660427 3444.37847441 3444.37847441 3444.37847441 3444.37847441 3381.90428671 3381.90428671 3381.90428671 3381.90428671 3317.08524528 3317.08524528 3317.08524528 3317.08524528 3250.0157654 3250.0157654 3250.0157654 3250.0157654 3180.79330809 3180.79330809 3180.79330809 3180.79330809 3109.51820972 3109.51820972 3109.51820972 3109.51820972 3036.29350674 3036.29350674 3036.29350674 3036.29350674 2961.22475599 2961.22475599 2961.22475599 2961.22475599 2884.41985094 2884.41985094 2884.41985094 2884.41985094 2805.98883417 2805.98883417 2805.98883417 2805.98883417 2726.04370643 2726.04370643 2726.04370643 2726.04370643 2644.69823267 2644.69823267 2644.69823267 2644.69823267 2562.06774547 2562.06774547 2644.69823267 2644.69823267 2478.26894613 2478.26894613 2726.04370643 2726.04370643 2393.41970385 2393.41970385 2805.98883417 2805.98883417 2307.63885339 2307.63885339 2884.41985094 2884.41985094 2221.04599162 2221.04599162 2961.22475599 2961.22475599 2133.76127325 2133.76127325 3036.29350674 3036.29350674 2045.90520619 2045.90520619 3109.51820972 3109.51820972 1957.59844699 1957.59844699 3180.79330809 3180.79330809 1868.96159656 1868.96159656 3250.0157654 3250.0157654 1780.11499675 1780.11499675 3317.08524528 3317.08524528 1691.17852805 1691.17852805 3381.90428671 3381.90428671 1602.27140883 1602.27140883 3444.37847441 3444.37847441 1513.51199648 1513.51199648 3504.41660427 3504.41660427 1425.0175908 1425.0175908 3561.9308432 3561.9308432 1336.90424012 1336.90424012 3616.8368834 3616.8368834 1249.28655026 1249.28655026 3669.05409051 3669.05409051 1162.27749701 1162.27749701 3718.50564547 3718.50564547 1075.98824216 1075.98824216 3765.11867985 3765.11867985 990.527953631 990.527953631 3808.82440423 3808.82440423 906.003629941 906.003629941 3849.55822963 3849.55822963 822.519929341 822.519929341 3887.25988149 3887.25988149 740.17900392 740.17900392 3921.87350623 3921.87350623 659.080338999 659.080338999 3953.34776994 3953.34776994 579.320598079 579.320598079 3981.63594923 3981.63594923 500.993473622 500.993473622 4006.6960139 4006.6960139 424.189543937 424.189543937 4028.49070143 4028.49070143 348.996136406 348.996136406 4046.98758292 4046.98758292 275.497197297 275.497197297 4062.15912063 4062.15912063 203.773168381 203.773168381 4073.98271676 4073.98271676 133.900870568 133.900870568 4082.44075354 4082.44075354 65.9533947425 65.9533947425 4087.52062447 4087.52062447 9.59011776572e-12 9.60569238171e-12 4089.21475671 4089.21475671 4080.74268549 4080.74268549 4080.74268549 4080.74268549 4079.05206317 4079.05206317 4079.05206317 4079.05206317 4073.98271676 4073.98271676 4073.98271676 4073.98271676 4065.54220341 4065.54220341 4065.54220341 4065.54220341 4053.74310352 4053.74310352 4053.74310352 4053.74310352 4038.60299833 4038.60299833 4038.60299833 4038.60299833 4020.14443884 4020.14443884 4020.14443884 4020.14443884 3998.39490575 3998.39490575 3998.39490575 3998.39490575 3973.38676073 3973.38676073 3973.38676073 3973.38676073 3945.15718915 3945.15718915 3945.15718915 3945.15718915 3913.7481341 3913.7481341 3913.7481341 3913.7481341 3879.20622217 3879.20622217 3879.20622217 3879.20622217 3841.58268091 3841.58268091 3841.58268091 3841.58268091 3800.93324822 3800.93324822 3800.93324822 3800.93324822 3757.31807374 3757.31807374 3757.31807374 3757.31807374 3710.80161266 3710.80161266 3710.80161266 3710.80161266 3661.45251187 3661.45251187 3661.45251187 3661.45251187 3609.34348883 3609.34348883 3609.34348883 3609.34348883 3554.55120344 3554.55120344 3554.55120344 3554.55120344 3497.15612302 3497.15612302 3497.15612302 3497.15612302 3437.2423807 3437.2423807 3437.2423807 3437.2423807 3374.89762757 3374.89762757 3374.89762757 3374.89762757 3310.2128788 3310.2128788 3310.2128788 3310.2128788 3243.28235406 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3387.51588814 3387.51588814 7.97949835017e-12 7.98715401694e-12 3322.58929233 3322.58929233 7.72301251924e-12 7.73007012189e-12 3255.40852391 3255.40852391 7.98004610251e-12 8.0034526067e-12 3186.07120562 3186.07120562 7.34341512733e-12 7.31189363259e-12 3114.67784032 3114.67784032 7.1445681962e-12 7.12810301383e-12 3041.33163542 3041.33163542 7.26495489801e-12 7.2231871201e-12 2966.13832292 2966.13832292 7.57801572381e-12 7.56568097382e-12 2889.20597532 2889.20597532 6.7269310307e-12 6.73890173453e-12 2810.64481779 2810.64481779 6.94416910398e-12 6.96318102601e-12 2730.56703691 2730.56703691 6.53748023433e-12 6.55258002755e-12 2649.08658642 2649.08658642 6.27337264424e-12 6.27332265124e-12 2649.08658642 2649.08658642 5.49553521025e-12 5.49242396593e-12 2730.56703691 2730.56703691 5.82102761651e-12 5.80865194367e-12 2810.64481779 2810.64481779 4.92602603969e-12 4.92661909258e-12 2889.20597532 2889.20597532 5.10515152258e-12 5.12702387093e-12 2966.13832292 2966.13832292 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In [344]:
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
вариант когда отношение на i,j позиции. функция не зашумлена.
In [345]:
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,64)
ax.set_ylim(0,64)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
In [296]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
for j in range(64):
z[i,j] = compare(i,j,6)
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
4096.0 4096.0 4096.0 4096.0 4094.30305668 4094.30305668 4094.30305668 4094.30305668 4089.21475671 4089.21475671 4089.21475671 4089.21475671 4080.74268549 4080.74268549 4080.74268549 4080.74268549 4068.89947044 4068.89947044 4068.89947044 4068.89947044 4053.70275857 4053.70275857 4053.70275857 4053.70275857 4035.17518516 4035.17518516 4035.17518516 4035.17518516 4013.34433366 4013.34433366 4013.34433366 4013.34433366 3988.24268676 3988.24268676 3988.24268676 3988.24268676 3959.90756884 3959.90756884 3959.90756884 3959.90756884 3928.38107981 3928.38107981 3928.38107981 3928.38107981 3893.7100206 3893.7100206 3893.7100206 3893.7100206 3855.9458103 3855.9458103 3855.9458103 3855.9458103 3815.14439517 3815.14439517 3815.14439517 3815.14439517 3771.36614979 3771.36614979 3771.36614979 3771.36614979 3724.6757703 3724.6757703 3724.6757703 3724.6757703 3675.14216026 3675.14216026 3675.14216026 3675.14216026 3622.83830902 3622.83830902 3622.83830902 3622.83830902 3567.8411631 3567.8411631 3567.8411631 3567.8411631 3510.23149066 3510.23149066 3510.23149066 3510.23149066 3450.0937394 3450.0937394 3450.0937394 3450.0937394 3387.51588814 3387.51588814 3387.51588814 3387.51588814 3322.58929233 3322.58929233 3322.58929233 3322.58929233 3255.40852391 3255.40852391 3255.40852391 3255.40852391 3186.07120562 3186.07120562 3186.07120562 3186.07120562 3114.67784032 3114.67784032 3114.67784032 3114.67784032 3041.33163542 3041.33163542 3041.33163542 3041.33163542 2966.13832292 2966.13832292 2966.13832292 2966.13832292 2889.20597532 2889.20597532 2889.20597532 2889.20597532 2810.64481779 2810.64481779 2810.64481779 2810.64481779 2730.56703691 2730.56703691 2730.56703691 2730.56703691 2649.08658642 2649.08658642 2649.08658642 2649.08658642 2566.31899027 2566.31899027 2649.08658642 2649.08658642 2482.3811434 2482.3811434 2730.56703691 2730.56703691 2397.39111057 2397.39111057 2810.64481779 2810.64481779 2311.46792376 2311.46792376 2889.20597532 2889.20597532 2224.73137826 2224.73137826 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3959.90756884 3959.90756884 580.281866057 580.281866057 3988.24268676 3988.24268676 501.824773225 501.824773225 4013.34433366 4013.34433366 424.893402606 424.893402606 4035.17518516 4035.17518516 349.575226484 349.575226484 4053.70275857 4053.70275857 275.954330419 275.954330419 4068.89947044 4068.89947044 204.11128966 204.11128966 4080.74268549 4080.74268549 134.123052585 134.123052585 4089.21475671 4089.21475671 66.0628313595 66.0628313595 4094.30305668 4094.30305668 9.62158076667e-12 9.62158076667e-12 4096.0 4096.0 4094.30305668 4094.30305668 4094.30305668 4094.30305668 4092.6068164 4092.6068164 4092.6068164 4092.6068164 4087.52062447 4087.52062447 4087.52062447 4087.52062447 4079.05206317 4079.05206317 4079.05206317 4079.05206317 4067.21375468 4067.21375468 4067.21375468 4067.21375468 4052.02333869 4052.02333869 4052.02333869 4052.02333869 4033.50344113 4033.50344113 4033.50344113 4033.50344113 4011.68163399 4011.68163399 4011.68163399 4011.68163399 3986.59038653 3986.59038653 3986.59038653 3986.59038653 3958.26700764 3958.26700764 3958.26700764 3958.26700764 3926.75357981 3926.75357981 3926.75357981 3926.75357981 3892.09688457 3892.09688457 3892.09688457 3892.09688457 3854.34831971 3854.34831971 3854.34831971 3854.34831971 3813.56380831 3813.56380831 3813.56380831 3813.56380831 3769.80369994 3769.80369994 3769.80369994 3769.80369994 3723.13266394 3723.13266394 3723.13266394 3723.13266394 3673.61957531 3673.61957531 3673.61957531 3673.61957531 3621.33739318 3621.33739318 3621.33739318 3621.33739318 3566.36303219 3566.36303219 3566.36303219 3566.36303219 3508.77722702 3508.77722702 3508.77722702 3508.77722702 3448.6643904 3448.6643904 3448.6643904 3448.6643904 3386.11246469 3386.11246469 3386.11246469 3386.11246469 3321.21276751 3321.21276751 3321.21276751 3321.21276751 3254.05983159 3254.05983159 3254.05983159 3254.05983159 3184.75123925 3184.75123925 3184.75123925 3184.75123925 3113.38745171 3113.38745171 3113.38745171 3113.38745171 3040.07163362 3040.07163362 3040.07163362 3040.07163362 2964.90947316 2964.90947316 2964.90947316 2964.90947316 2888.00899808 2888.00899808 2888.00899808 2888.00899808 2809.48038787 2809.48038787 2809.48038787 2809.48038787 2729.43578264 2729.43578264 2729.43578264 2729.43578264 2647.98908892 2647.98908892 2647.98908892 2647.98908892 2565.25578279 2565.25578279 2647.98908892 2647.98908892 2481.35271076 2481.35271076 2729.43578264 2729.43578264 2396.39788869 2396.39788869 2809.48038787 2809.48038787 2310.51029924 2310.51029924 2888.00899808 2888.00899808 2223.80968806 2223.80968806 2964.90947316 2964.90947316 2136.41635939 2136.41635939 3040.07163362 3040.07163362 2048.4509711 2048.4509711 3113.38745171 3113.38745171 1960.03432985 1960.03432985 3184.75123925 3184.75123925 1871.28718663 1871.28718663 3254.05983159 3254.05983159 1782.33003304 1782.33003304 3321.21276751 3321.21276751 1693.28289873 1693.28289873 3386.11246469 3386.11246469 1604.26515043 1604.26515043 3448.6643904 3448.6643904 1515.39529278 1515.39529278 3508.77722702 3508.77722702 1426.79077157 1426.79077157 3566.36303219 3566.36303219 1338.56777951 1338.56777951 3621.33739318 3621.33739318 1250.84106503 1250.84106503 3673.61957531 3673.61957531 1163.7237445 1163.7237445 3723.13266394 3723.13266394 1077.32711803 1077.32711803 3769.80369994 3769.80369994 991.760489377 991.760489377 3813.56380831 3813.56380831 907.130990211 907.130990211 3854.34831971 3854.34831971 823.543409003 823.543409003 3892.09688457 3892.09688457 741.100024955 741.100024955 3926.75357981 3926.75357981 659.90044718 659.90044718 3958.26700764 3958.26700764 580.041459457 580.041459457 3986.59038653 3986.59038653 501.616870834 501.616870834 4011.68163399 4011.68163399 424.717372328 424.717372328 4033.50344113 4033.50344113 349.430399984 349.430399984 4052.02333869 4052.02333869 275.840004526 275.840004526 4067.21375468 4067.21375468 204.026727822 204.026727822 4079.05206317 4079.05206317 134.06748637 134.06748637 4087.52062447 4087.52062447 66.035462004 66.035462004 4092.6068164 4092.6068164 9.56458178488e-12 9.43964815073e-12 4094.30305668 4094.30305668 4089.21475671 4089.21475671 4089.21475671 4089.21475671 4087.52062447 4087.52062447 4087.52062447 4087.52062447 4082.44075354 4082.44075354 4082.44075354 4082.44075354 4073.98271676 4073.98271676 4073.98271676 4073.98271676 4062.15912063 4062.15912063 4062.15912063 4062.15912063 4046.98758292 4046.98758292 4046.98758292 4046.98758292 4028.49070143 4028.49070143 4028.49070143 4028.49070143 4006.6960139 4006.6960139 4006.6960139 4006.6960139 3981.63594923 3981.63594923 3981.63594923 3981.63594923 3953.34776994 3953.34776994 3953.34776994 3953.34776994 3921.87350623 3921.87350623 3921.87350623 3921.87350623 3887.25988149 3887.25988149 3887.25988149 3887.25988149 3849.55822963 3849.55822963 3849.55822963 3849.55822963 3808.82440423 3808.82440423 3808.82440423 3808.82440423 3765.11867985 3765.11867985 3765.11867985 3765.11867985 3718.50564547 3718.50564547 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3892.09688457 11.9578754409 11.9578754409 3926.75357981 3926.75357981 10.6476954325 10.6476954325 3958.26700764 3958.26700764 9.35914625447 9.35914625447 3986.59038653 3986.59038653 8.09374154434 8.09374154434 4011.68163399 4011.68163399 6.85294462943 6.85294462943 4033.50344113 4033.50344113 5.63816631706 5.63816631706 4052.02333869 4052.02333869 4.45076279135 4.45076279135 4067.21375468 4067.21375468 3.29203361997 3.29203361997 4079.05206317 4079.05206317 2.16321987411 2.16321987411 4087.52062447 4087.52062447 1.06550236505 1.06550236505 4092.6068164 4092.6068164 5.31835411403e-13 3.95704041029e-13 4094.30305668 4094.30305668 9.62158076667e-12 9.62158076667e-12 4096.0 4096.0 9.58573517039e-12 9.56783782928e-12 4094.30305668 4094.30305668 9.57310171698e-12 9.61114364737e-12 4089.21475671 4089.21475671 9.8589870981e-12 9.7753602175e-12 4080.74268549 4080.74268549 9.90082084432e-12 9.84583016386e-12 4068.89947044 4068.89947044 9.54334205219e-12 9.5414939733e-12 4053.70275857 4053.70275857 9.7200144242e-12 9.70426248683e-12 4035.17518516 4035.17518516 9.24742679738e-12 9.18567052193e-12 4013.34433366 4013.34433366 9.28639392883e-12 9.3036594288e-12 3988.24268676 3988.24268676 1.00090872076e-11 9.97782548757e-12 3959.90756884 3959.90756884 8.90508872776e-12 8.91311850073e-12 3928.38107981 3928.38107981 9.09716494562e-12 9.11100342239e-12 3893.7100206 3893.7100206 9.15400832464e-12 9.18134681637e-12 3855.9458103 3855.9458103 9.07904290013e-12 9.07654557413e-12 3815.14439517 3815.14439517 8.76702462708e-12 8.75552598322e-12 3771.36614979 3771.36614979 9.17042786289e-12 9.18374896613e-12 3724.6757703 3724.6757703 8.7105486058e-12 8.70509594599e-12 3675.14216026 3675.14216026 9.01707759702e-12 8.98952093972e-12 3622.83830902 3622.83830902 8.45494881984e-12 8.41070287206e-12 3567.8411631 3567.8411631 8.10147997684e-12 8.09364619604e-12 3510.23149066 3510.23149066 8.39574457318e-12 8.3994670832e-12 3450.0937394 3450.0937394 8.09989913119e-12 8.12715779175e-12 3387.51588814 3387.51588814 7.97949835017e-12 7.98715401694e-12 3322.58929233 3322.58929233 7.72301251924e-12 7.73007012189e-12 3255.40852391 3255.40852391 7.98004610251e-12 8.0034526067e-12 3186.07120562 3186.07120562 7.34341512733e-12 7.31189363259e-12 3114.67784032 3114.67784032 7.1445681962e-12 7.12810301383e-12 3041.33163542 3041.33163542 7.26495489801e-12 7.2231871201e-12 2966.13832292 2966.13832292 7.57801572381e-12 7.56568097382e-12 2889.20597532 2889.20597532 6.7269310307e-12 6.73890173453e-12 2810.64481779 2810.64481779 6.94416910398e-12 6.96318102601e-12 2730.56703691 2730.56703691 6.53748023433e-12 6.55258002755e-12 2649.08658642 2649.08658642 6.27337264424e-12 6.27332265124e-12 2649.08658642 2649.08658642 5.49553521025e-12 5.49242396593e-12 2730.56703691 2730.56703691 5.82102761651e-12 5.80865194367e-12 2810.64481779 2810.64481779 4.92602603969e-12 4.92661909258e-12 2889.20597532 2889.20597532 5.10515152258e-12 5.12702387093e-12 2966.13832292 2966.13832292 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Out[296]:
<mpl_toolkits.mplot3d.art3d.Line3DCollection at 0x7f3829cdee10>
отношение максимумов, функция не зашумлена
In [340]:
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,64)
ax.set_ylim(0,64)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
# ax.zaxis.set_major_locator(majorLocator)
# ax.zaxis.set_major_formatter(majorFormatter)
In [353]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
for j in range(64):
z[i,j] = compare(i,j,6, True)
4096.0 4096.0 4096.0 42518.7656219 4094.30305668 8865.58885466 4094.30305668 56912.6321855 4089.21475671 20885.1585967 4089.21475671 59384.5763772 4080.74268549 9242.47039557 4080.74268549 55416.2801601 4068.89947044 10829.5981656 4068.89947044 60095.1220473 4053.70275857 9146.26617402 4053.70275857 56987.463217 4035.17518516 7372.83519142 4035.17518516 56612.8847897 4013.34433366 9111.39145497 4013.34433366 56226.0637321 3988.24268676 5147.81695424 3988.24268676 56124.9448193 3959.90756884 8434.10488933 3959.90756884 53422.8931715 3928.38107981 4262.35799694 3928.38107981 55299.3864516 3893.7100206 8869.84375132 3893.7100206 61347.0956174 3855.9458103 4205.23457332 3855.9458103 67801.729016 3815.14439517 9125.12908433 3815.14439517 73269.34685 3771.36614979 4014.30587026 3771.36614979 73167.1427312 3724.6757703 8928.6225642 3724.6757703 80226.4499241 3675.14216026 4260.40467561 3675.14216026 86348.1727328 3622.83830902 9018.05870882 3622.83830902 89518.1377717 3567.8411631 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2396.95275287 2376.89692381 83008.0034954 2302.63357369 2310.47670947 2376.89692381 81918.1892033 2227.32021434 2218.95047219 2450.00538056 82942.6535917 2151.06277956 2192.93410353 2521.85528988 82294.6427829 2073.96807097 2090.23804164 2592.34440663 81839.5845693 1996.14357507 1983.60181592 2661.37207122 82313.7818578 1917.69727975 1943.8321988 2728.83938395 80968.2252618 1838.73749033 1857.05235656 2794.6493766 77603.3614011 1759.37264571 1823.76850985 2858.70718099 77187.0251517 1679.71113479 1697.31556182 2920.92019411 73745.7126153 1599.86111366 1596.83209006 2981.19823962 75219.7518478 1519.93032373 1581.38442098 3039.45372535 70710.0631776 1440.02591136 1482.32920331 3095.60179651 69366.4989552 1360.2542491 1416.86370653 3149.56048427 66974.6072724 1280.72075903 1278.3662358 3201.25084951 65468.4812406 1201.52973845 1217.97835445 3250.5971214 61221.8720558 1122.78418823 1032.6461804 3297.52683059 59672.450568 1044.58564427 1017.51916444 3341.9709367 60318.9761788 967.034012146 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3536.1131543 3609.34348883 86829.0541792 3598.86837819 3620.99198642 3598.86837819 87484.0462819 3585.42715994 3571.38994779 3585.42715994 87760.2062635 3569.03985459 3657.75025745 3569.03985459 85803.5219998 3549.73085919 3580.19758323 3549.73085919 83884.5544826 3527.52890411 3590.22426479 3527.52890411 81125.499182 3502.46700209 3507.99815139 3502.46700209 77747.3315951 3474.58238973 3361.77369701 3474.58238973 78462.9905688 3443.91646163 3434.06420056 3443.91646163 76620.5532264 3410.51469703 3458.90958204 3410.51469703 72608.0630937 3374.42657941 3396.98881984 3374.42657941 71210.9032268 3335.70550898 3321.18712023 3335.70550898 70302.8205601 3294.40870833 3301.94917945 3294.40870833 65412.6739534 3250.5971214 3295.14217516 3250.5971214 63688.5460946 3204.33530598 3215.3110058 3204.33530598 59458.0512685 3155.69131986 3118.66525496 3155.69131986 61857.0159621 3104.73660105 3136.4947161 3104.73660105 65332.8503972 3051.545842 3016.45016229 3051.545842 67572.2627268 2996.19685839 3010.85313065 2996.19685839 69922.6767737 2938.77045249 2977.89026317 2938.77045249 68896.7495228 2879.35027146 2847.96110728 2879.35027146 72548.37143 2818.02266088 2833.71955723 2818.02266088 72203.6268821 2754.87651371 2790.20353922 2754.87651371 72846.2968887 2690.00311504 2808.80087244 2690.00311504 74887.3896477 2623.49598294 2587.03264878 2623.49598294 75290.3481716 2555.45070557 2641.95893894 2555.45070557 76742.4385582 2485.96477513 2543.79499707 2485.96477513 76096.4572381 2415.13741862 2351.8891684 2415.13741862 76925.6373441 2343.06942607 2421.15880012 2343.06942607 77906.5988577 2269.86297635 2275.0654676 2343.06942607 78233.3979934 2195.62146091 2207.79495518 2415.13741862 78870.9572238 2120.44930593 2089.01739563 2485.96477513 78082.3944192 2044.45179303 2013.85499124 2555.45070557 77419.0850516 1967.73487901 1973.67225722 2623.49598294 76644.2036891 1890.40501488 1897.39971864 2690.00311504 74194.6935063 1812.5689646 1762.3515216 2754.87651371 75956.5569064 1734.33362378 1766.44557238 2818.02266088 72632.6726441 1655.80583876 1645.33294442 2879.35027146 71425.4674554 1577.09222635 1592.42507089 2938.77045249 69016.0897404 1498.29899463 1499.50229037 2996.19685839 66292.7065051 1419.53176507 1480.97063028 3051.545842 66150.7612907 1340.89539636 1365.89790616 3104.73660105 66334.2955812 1262.49381021 1212.44242922 3155.69131986 62104.5515802 1184.4298196 1156.58136164 3204.33530598 58986.2319591 1106.80495951 1150.51992483 3250.5971214 60572.5859661 1029.7193208 1048.52403757 3294.40870833 63878.5057551 953.271387216 1091.55873506 3335.70550898 68512.9156399 877.557876039 916.10417416 3374.42657941 72684.360007 802.673582569 797.025967067 3410.51469703 73144.7491629 728.711228741 633.288397339 3443.91646163 76393.7309369 655.761316163 629.188348169 3474.58238973 79277.3030192 583.911983818 690.866901199 3502.46700209 78585.4791052 513.248870698 522.327618344 3527.52890411 83034.5293655 443.854983607 256.964581656 3549.73085919 85402.1919327 375.810570364 425.463974676 3569.03985459 83687.0384953 309.19299863 336.225108112 3585.42715994 85969.3253347 244.076640571 357.992124114 3598.86837819 85538.8285629 180.532763546 68.7852017776 3609.34348883 89100.4954842 118.629427009 205.152325745 3616.8368834 86875.0012741 58.4313858035 74.6852709259 3621.33739318 88645.8586426 9.00565303596e-12 45.1806699305 3622.83830902 90366.4307961 3567.8411631 3911.0712356 3567.8411631 86574.8042582 3566.36303219 3805.48576132 3566.36303219 95464.267736 3561.9308432 3647.82376001 3561.9308432 92781.6027515 3554.55120344 3468.25355192 3554.55120344 90078.6670888 3544.2351121 3592.29018145 3544.2351121 90391.6629903 3530.99794067 3510.76093045 3530.99794067 89715.8637558 3514.85940574 3582.88560678 3514.85940574 87768.9174328 3495.84353401 3430.73846787 3495.84353401 87137.0839974 3473.97861969 3375.69957991 3473.97861969 84680.4998867 3449.29717436 3280.11722171 3449.29717436 77864.5488081 3421.83586936 3388.7968501 3421.83586936 82545.5427306 3391.63547087 3218.02459362 3391.63547087 80723.7354477 3358.74076774 3404.52841864 3358.74076774 76150.7068846 3323.20049225 3295.9273208 3323.20049225 74123.6829094 3285.06723397 3270.32481521 3285.06723397 69824.9534994 3244.39734679 3225.80287675 3244.39734679 67932.8271002 3201.25084951 3203.55048548 3201.25084951 64296.6143096 3155.69131986 3117.43678212 3155.69131986 61033.5789997 3107.78578249 3092.6298704 3107.78578249 53922.0165731 3057.60459091 2976.61451314 3057.60459091 58108.4593346 3005.22130371 3082.4633736 3005.22130371 60675.3625414 2950.71255526 2994.50497493 2950.71255526 65308.2661826 2894.1579212 2897.08631772 2894.1579212 65093.3749723 2835.63977888 2742.49076631 2835.63977888 67913.0701356 2775.24316308 2855.8943395 2775.24316308 71007.1550348 2713.0556173 2674.84778332 2713.0556173 70477.5385367 2649.16704089 2650.04055292 2649.16704089 71935.9256375 2583.66953221 2684.56146698 2583.66953221 67277.5386065 2516.65722837 2558.61831879 2516.65722837 74581.1699328 2448.22614154 2496.79393292 2448.22614154 73510.9837654 2378.4739924 2370.33526762 2378.4739924 72137.5580303 2307.50004093 2311.3469275 2307.50004093 75396.9322688 2235.40491483 2314.45011622 2307.50004093 76528.4268318 2162.29043601 2164.22559486 2378.4739924 73530.8817243 2088.2594454 1982.1185367 2448.22614154 70912.4751498 2013.41562636 2095.91229286 2516.65722837 73056.9460303 1937.86332719 1910.53418853 2583.66953221 68223.6925092 1861.70738292 1906.77815151 2649.16704089 71114.5493635 1785.05293675 1789.50934806 2713.0556173 71251.7141058 1708.00526153 1663.340384 2775.24316308 68240.7676408 1630.66958161 1658.26899179 2835.63977888 67780.9198431 1553.1508953 1606.38808862 2894.1579212 67500.2722735 1475.55379835 1470.2932689 2950.71255526 65489.5464269 1397.98230883 1371.00954967 3005.22130371 63794.2271071 1320.5396936 1289.17625409 3057.60459091 60246.5366893 1243.32829678 1159.09131268 3107.78578249 56984.0789723 1166.44937055 1149.34323072 3155.69131986 60382.777661 1090.00290856 1213.1036813 3201.25084951 65057.2756308 1014.08748219 1060.09414361 3244.39734679 67756.6136968 938.80008016 909.645167545 3285.06723397 68677.8573326 864.235951503 749.08521538 3323.20049225 75570.9006604 790.488452463 726.327710064 3358.74076774 78092.4167337 717.648897397 848.513071541 3391.63547087 77198.0309266 645.806414034 519.273207229 3421.83586936 82349.0775814 575.04780335 438.965081085 3449.29717436 83263.9528254 505.457404277 527.028569873 3473.97861969 86396.2649292 437.116963519 558.810922222 3495.84353401 85902.0275994 370.10551068 304.856900476 3514.85940574 88085.7198748 304.499238928 337.125150167 3530.99794067 88136.6175349 240.371391407 160.390328074 3544.2351121 91132.1974877 177.79215359 172.893690037 3554.55120344 91484.3179249 116.828551741 127.149071808 3561.9308432 89258.5684285 57.5443576844 61.0957079332 3566.36303219 93592.2964383 8.50449128194e-12 229.319005832 3567.8411631 95655.8907103 3510.23149066 8466.63005974 3510.23149066 96179.5486456 3508.77722702 3549.10732009 3508.77722702 95678.9517998 3504.41660427 3553.16884092 3504.41660427 98993.7509324 3497.15612302 3488.66747276 3497.15612302 94741.2125873 3487.00660485 3468.70821047 3487.00660485 96391.4944148 3473.98317307 3502.85055773 3473.98317307 93001.4767276 3458.1052259 3537.39898694 3458.1052259 91014.6829722 3439.39640207 3468.64677839 3439.39640207 92042.209421 3417.88453893 3563.17649075 3417.88453893 88078.2562844 3393.60162311 3384.05107488 3393.60162311 88439.2905555 3366.58373381 3269.00845342 3366.58373381 84665.8889907 3336.87097896 3117.73112086 3336.87097896 82932.0291201 3304.50742422 3380.31825316 3304.50742422 81453.6020259 3269.54101498 3303.93730427 3269.54101498 76027.5878654 3232.02349165 3305.40716059 3232.02349165 76862.3158231 3192.0102982 3105.29709727 3192.0102982 69602.1983642 3149.56048427 3092.26181684 3149.56048427 66028.1992433 3104.73660105 3111.96285424 3104.73660105 66704.8493584 3057.60459091 3059.48542374 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64913.2038163 2190.87473158 2188.86605551 2190.87473158 60038.6625321 2148.88347815 2205.86630505 2148.88347815 59943.6135316 2105.43433936 2172.54486006 2105.43433936 60253.5683153 2060.59045268 2085.99148347 2060.59045268 59737.4607846 2014.41681831 2032.57345349 2014.41681831 59163.2821145 1966.98018561 1996.15451538 1966.98018561 58457.7257656 1918.3489367 1911.0192129 1918.3489367 59161.5201777 1868.59296744 1872.13268011 1868.59296744 59089.2193244 1817.78356592 1814.0991517 1817.78356592 60706.7434901 1765.99328877 1803.20147344 1765.99328877 59860.4527436 1713.29583554 1751.97066154 1713.29583554 61179.1272993 1659.76592129 1746.55090048 1713.29583554 60830.0503192 1605.47914779 1599.17445706 1765.99328877 59393.7263672 1550.5118734 1524.7108649 1817.78356592 62390.3715265 1494.94108198 1556.86042681 1868.59296744 60197.3314774 1438.84425111 1370.54736263 1918.3489367 62348.3713522 1382.29921975 1320.29360378 1966.98018561 59089.1750662 1325.38405569 1350.50665327 2014.41681831 59136.1932981 1268.17692297 1285.28741449 2060.59045268 60434.8905392 1210.75594962 1174.48722669 2105.43433936 58853.5819839 1153.19909585 1124.1681333 2148.88347815 58869.8172532 1095.58402296 1163.8446905 2190.87473158 57902.6335162 1037.98796333 977.667008933 2231.34693529 64294.8910791 980.487591579 1045.23967679 2270.24100516 70356.0475989 923.158897199 945.451577269 2307.50004093 74906.1387629 866.077058931 808.091457283 2343.06942607 79376.3805828 809.316321054 752.400847541 2376.89692381 84281.1139343 752.949871852 675.785153719 2408.93276901 86876.5677359 697.049724469 615.220020114 2439.12975583 93186.0502297 641.686600376 554.818718504 2467.44332093 95276.8643739 586.929815655 700.138048357 2493.83162208 100146.110632 532.847170305 475.808005516 2518.25561206 99953.1597615 479.504840781 410.075175482 2540.67910764 104712.605456 426.967275943 434.482808827 2561.06885354 107074.975655 375.29709661 399.112382338 2579.39458127 107922.565331 324.554998898 227.774491054 2595.62906274 112284.7089 274.7996615 323.231921653 2609.74815842 113934.987092 226.087657086 154.465554311 2621.73086012 115931.26561 178.473367963 76.6921814644 2631.55932828 113092.434137 132.008906147 344.754042916 2639.21892353 116538.137668 86.7440379719 113.444334972 2644.69823267 118546.21292 42.7261133827 122.861540697 2647.98908892 117842.799403 6.50042806543e-12 105.619956708 2649.08658642 117313.033535 2566.31899027 4314.4010013 2649.08658642 118813.001695 2565.25578279 2459.29832985 2647.98908892 118453.486382 2562.06774547 2418.35621403 2644.69823267 117775.807223 2556.75963091 2441.2796566 2639.21892353 117010.984872 2549.33935071 2468.72471351 2631.55932828 114501.930333 2539.81796148 2549.6708079 2621.73086012 114702.208779 2528.2096452 2490.01775779 2609.74815842 111655.155884 2514.53168408 2500.68708096 2595.62906274 111530.764275 2498.8044299 2515.59400461 2579.39458127 108245.466279 2481.05126798 2455.06398743 2561.06885354 108237.801632 2461.29857572 2453.78166357 2540.67910764 102687.331992 2439.5756759 2414.1789271 2518.25561206 98959.533199 2415.91478477 2270.20333251 2493.83162208 96533.9862129 2390.35095507 2401.50077153 2467.44332093 93136.8887306 2362.92201403 2370.0472095 2439.12975583 90121.836034 2333.66849656 2328.69417815 2408.93276901 88235.9418124 2302.63357369 2254.08434847 2376.89692381 82727.7805845 2269.86297635 2227.16476689 2343.06942607 76368.5652001 2235.40491483 2203.68032898 2307.50004093 74610.1928031 2199.30999383 2208.71261644 2270.24100516 68914.9105702 2161.63112345 2160.86763934 2231.34693529 64566.2993538 2122.42342617 2060.56067427 2190.87473158 61071.7608624 2081.74414009 2126.70024137 2148.88347815 61224.0434927 2039.65251855 2055.54703792 2105.43433936 59091.8764341 1996.2097264 2027.20579411 2060.59045268 56649.5583257 1951.47873296 1833.86705447 2014.41681831 60996.6944074 1905.52420207 1901.14178491 1966.98018561 58928.7812253 1858.41237937 1906.5828396 1918.3489367 60697.2653867 1810.21097687 1784.84816885 1868.59296744 59472.6716007 1760.98905537 1681.65238512 1817.78356592 60908.5366213 1710.81690455 1714.98720678 1765.99328877 60850.6899936 1659.76592129 1673.79944435 1713.29583554 59702.8625179 1607.90848629 1640.11592578 1713.29583554 59943.1437872 1555.31783921 1502.33939351 1765.99328877 60395.2947023 1502.06795268 1473.49664128 1817.78356592 60642.057576 1448.23340531 1458.3747788 1868.59296744 58128.0283717 1393.88925398 1329.0001715 1918.3489367 59238.1826675 1339.11090565 1346.75110665 1966.98018561 60093.6791511 1283.97398898 1343.3679897 2014.41681831 57217.0016949 1228.55422587 1242.4077444 2060.59045268 58669.7202236 1172.92730333 1172.12964885 2105.43433936 60234.4494354 1117.16874579 1163.58995065 2148.88347815 61790.4770933 1061.35378812 1111.67055089 2190.87473158 60289.6974643 1005.55724967 874.336052496 2231.34693529 64552.2898569 949.853409433 962.363365177 2270.24100516 68856.4048819 894.315882714 893.999195685 2307.50004093 72109.8006423 839.017499378 906.950521529 2343.06942607 79796.4313687 784.030184028 760.718955269 2376.89692381 83494.4817377 729.424838267 707.992672985 2408.93276901 87130.7302855 675.271225273 730.569655913 2439.12975583 92187.8806966 621.637856908 540.271294021 2467.44332093 94010.1545837 568.591883554 621.427594965 2493.83162208 99699.6575132 516.198986879 456.90388886 2518.25561206 100742.223927 464.523275733 441.039053553 2540.67910764 105639.889841 413.627185345 531.321011714 2561.06885354 108262.893822 363.571380023 454.088547886 2579.39458127 109565.340784 314.414659501 418.367510134 2595.62906274 110609.763776 266.213869128 289.08688606 2609.74815842 111165.892367 219.023814027 295.90191507 2621.73086012 115690.791023 172.897177393 158.51753205 2631.55932828 116713.868142 127.884443063 24.5375637253 2639.21892353 118561.616144 84.033822481 108.784602524 2644.69823267 117428.495863 41.3911861985 8.93807260614 2647.98908892 118704.025112 6.26261535971e-12 129.550095393 2649.08658642 116462.380236 2482.3811434 7507.29551978 2730.56703691 115535.167595 2481.35271076 2421.47217365 2729.43578264 117905.657946 2478.26894613 2533.25097838 2726.04370643 117034.235001 2473.13444666 2544.88055579 2720.39586502 117472.627489 2465.95686519 2565.27891862 2712.50067639 117888.608099 2456.74689668 2343.72112988 2702.36990478 115294.497324 2445.51825926 2454.50788277 2690.01863983 111067.452384 2432.28766988 2414.55734753 2675.46526984 111612.030134 2417.07481467 2238.64220356 2658.73144914 107110.059343 2399.90231408 2465.8290708 2639.84205974 107132.779651 2380.79568276 2351.33107352 2618.82516723 104456.351012 2359.78328442 2272.22012524 2595.71197108 101042.200366 2336.8962816 2303.34927445 2570.53674944 98488.485327 2312.16858055 2251.0899013 2543.33679847 92422.7061024 2285.63677126 2343.65886505 2514.15236639 91013.712721 2257.34006286 2242.70556683 2483.02658241 86913.4823436 2227.32021434 2248.43834322 2450.00538056 82818.9078508 2195.62146091 2209.24256674 2415.13741862 77134.3621525 2162.29043601 2104.54937734 2378.4739924 73310.2284842 2127.3760892 2161.71313266 2340.06894539 68825.9606176 2090.92960001 2131.53225619 2299.97857399 67390.2837896 2053.00428801 2057.20501013 2258.26152861 57346.5130723 2013.65551917 2012.31678454 2214.97871065 61095.354895 1972.94060884 1937.19477524 2170.19316579 59921.8736599 1930.91872128 2003.57343182 2123.96997347 58403.143267 1887.65076625 1839.32766615 2076.37613315 57810.9131814 1843.19929262 1836.94434728 2027.48044726 58083.0140754 1797.62837928 1734.70139596 1977.35340124 58841.0950779 1751.00352357 1786.42849707 1926.06704079 59583.2365453 1703.39152746 1771.55492709 1873.69484666 60015.9630177 1654.86038164 1654.62410242 1820.31160719 60794.5687885 1605.47914779 1637.9911895 1765.99328877 61125.9088038 1555.31783921 1539.94356576 1765.99328877 60335.8909975 1504.44730007 1513.83798832 1820.31160719 60802.6566971 1452.93908355 1524.96386495 1873.69484666 59763.3040204 1400.86532898 1386.38897318 1926.06704079 59638.7408163 1348.29863831 1301.68867474 1977.35340124 58216.2576075 1295.31195214 1280.78679819 2027.48044726 61944.0742165 1241.97842549 1216.14598976 2076.37613315 58741.4386532 1188.3713036 1150.54221253 2123.96997347 60763.254725 1134.56379795 1146.53799547 2170.19316579 58627.3798456 1080.62896275 1049.36597067 2214.97871065 59823.2287846 1026.63957212 1067.84978487 2258.26152861 56968.6472389 972.667998265 1066.06976888 2299.97857399 64660.4106221 918.786090702 969.722689075 2340.06894539 70320.074668 865.065056956 842.827932199 2378.4739924 72877.2353232 811.575344815 819.574255424 2415.13741862 78553.8991951 758.386526407 711.972656264 2450.00538056 84353.8632408 705.567184322 670.434149986 2483.02658241 84525.1123637 653.184799961 703.234552068 2514.15236639 92177.8201414 601.305644333 493.367047128 2543.33679847 91488.6236069 549.994671502 441.099787282 2570.53674944 98179.5049223 499.315414852 500.386225293 2595.71197108 99275.1697815 449.329886393 354.931149597 2618.82516723 105004.239693 400.098479257 277.572613874 2639.84205974 107754.328604 351.679873573 283.064320986 2658.73144914 110089.409116 304.130945885 253.843952284 2675.46526984 111381.41456 257.506682271 379.086845994 2690.01863983 114033.658848 211.860095318 123.50619144 2702.36990478 116472.632826 167.242145086 69.2377414073 2712.50067639 117877.145432 123.701664211 241.68222026 2720.39586502 117210.742763 81.2852872636 221.482664669 2726.04370643 117121.081871 40.0373844839 84.0271523765 2729.43578264 119483.567005 5.46169853615e-12 80.5340365095 2730.56703691 119601.032058 2397.39111057 4566.08438579 2810.64481779 118207.703195 2396.39788869 2333.12091741 2809.48038787 115729.873599 2393.41970385 2482.98326293 2805.98883417 121621.438519 2388.46099578 2386.69009569 2800.17536174 117043.740222 2381.52915534 2297.2461279 2792.04863543 113330.560579 2372.6345113 2461.06277042 2781.62076446 113607.18513 2361.79031214 2310.5814932 2768.90728101 112120.782269 2349.01270244 2506.72942123 2753.92711265 112147.346666 2334.32069435 2297.04784764 2736.70254874 107530.257824 2317.73613384 2283.23760058 2717.259201 101933.469332 2299.28366203 2410.16255214 2695.62595807 102637.5944 2278.99067152 2387.61671639 2671.83493442 101194.675559 2256.88725793 2350.63851032 2645.92141343 97425.4202785 2233.00616664 2205.71979491 2617.92378501 95327.8666674 2207.38273492 2211.13847011 2587.88347775 89714.1063146 2180.05482946 2111.22724111 2555.84488568 88049.241622 2151.06277956 2175.90332057 2521.85528988 81301.1986702 2120.44930593 2125.46535662 2485.96477513 77487.8592856 2088.2594454 2099.37916454 2448.22614154 72898.1200996 2054.54047162 2149.69244672 2408.69481164 69088.3679513 2019.34181189 1971.49350034 2367.4287328 62947.5504815 1982.71496024 1964.80596905 2324.48827543 58764.6549053 1944.71338709 1891.4308221 2279.93612699 57208.6363749 1905.39244543 1858.49625874 2233.83718201 58637.0445953 1864.80927393 1857.19268779 2186.25842851 59152.0190518 1823.02269694 1869.5065683 2137.2688308 60496.6666664 1780.09312184 1824.23833501 2086.93920905 58007.0218797 1736.08243362 1777.16592435 2035.34211576 58801.6559504 1691.05388717 1652.14197298 1982.55170949 59981.1686155 1645.07199735 1577.8756226 1928.64362592 59853.9365132 1598.20242703 1540.10278207 1873.69484666 58748.2484366 1550.5118734 1607.606623 1817.78356592 58192.3965765 1502.06795268 1487.61493992 1817.78356592 59057.4981446 1452.93908355 1483.6770867 1873.69484666 57284.77826 1403.1943694 1377.92557978 1928.64362592 59990.7382134 1352.90347969 1325.59995701 1982.55170949 58492.9497888 1302.13653068 1252.32049181 2035.34211576 57876.4724589 1250.96396568 1262.14323273 2086.93920905 60466.3665448 1199.45643509 1228.6937842 2137.2688308 57348.0310128 1147.68467642 1117.53087975 2186.25842851 58256.1143731 1095.71939459 1043.4078445 2233.83718201 59462.6483936 1043.63114263 948.001461447 2279.93612699 59732.033214 991.490203073 947.230464411 2324.48827543 59549.9135153 939.366470287 887.015982044 2367.4287328 65762.4398584 887.329333864 960.557377326 2408.69481164 67991.9559666 835.447563374 763.592818775 2448.22614154 74131.9258596 783.789194659 846.167583085 2485.96477513 77406.4621562 732.421417889 621.908221441 2521.85528988 83476.6904797 681.410467569 743.851107383 2555.84488568 85616.7940671 630.821514719 629.170435158 2587.88347775 87883.9173075 580.718561409 495.613732798 2617.92378501 94622.3939623 531.164337849 552.810229763 2645.92141343 96667.1501443 482.220202213 415.867230926 2671.83493442 101089.685155 433.946043386 321.062846899 2695.62595807 99776.3559245 386.400186803 525.759789827 2717.259201 104453.365185 339.639303543 329.27423959 2736.70254874 106674.391884 293.718322851 275.855388162 2753.92711265 110953.620021 248.69034823 145.038672424 2768.90728101 113518.775821 204.606577258 192.124325875 2781.62076446 113494.267522 161.516225261 377.073077626 2792.04863543 114779.007621 119.466452978 167.265478158 2800.17536174 113952.417647 78.5022983375 144.289628068 2805.98883417 117269.953246 38.6666124611 98.705440798 2809.48038787 119986.015193 5.81730557882e-12 104.390522136 2810.64481779 117542.451277 2311.46792376 7239.6979196 2889.20597532 111246.142586 2310.51029924 2315.96613419 2888.00899808 116092.086061 2307.63885339 2293.11378897 2884.41985094 115576.129273 2302.85786685 2275.85112225 2878.44388444 116312.988629 2296.17446556 2297.96279754 2870.09000561 111623.703847 2287.59860813 2274.48495103 2859.37066216 113469.778491 2277.14306817 2207.85320457 2846.30182042 109835.871607 2264.82341168 2246.77178962 2830.90293697 106871.277078 2250.65796939 2370.03701555 2813.19692422 110444.966241 2234.6678043 2261.88896034 2793.21010977 106657.121262 2216.87667439 2283.98574109 2770.97218973 102295.965896 2197.31099049 2189.20214335 2746.51617619 101261.99911 2175.99976959 2161.5590134 2719.87833878 98557.6497032 2152.97458349 2268.39896708 2691.09814044 94873.9782671 2128.26950293 2065.42854087 2660.21816775 87526.5858953 2101.92103746 2079.0263246 2627.28405559 87209.7709509 2073.96807097 2040.33621422 2592.34440663 79644.0023628 2044.45179303 2048.58555936 2555.45070557 74167.0847192 2013.41562636 1951.8706366 2516.65722837 73653.2856472 1980.9051503 1997.59153877 2476.02094667 70154.2897414 1946.96802065 1861.50539903 2433.60142756 61831.7504968 1911.6538859 1875.24190868 2389.46072888 58161.9597395 1875.01430006 1868.42565302 2343.66329027 55529.7009946 1837.10263226 1814.83832997 2296.27582016 61546.2380349 1797.97397329 1784.94088915 2247.36717897 55296.379545 1757.68503924 1794.3349871 2197.00825865 56552.9453214 1716.29407246 1688.53077036 2145.27185888 58629.0811083 1673.86073996 1704.15495283 2092.23256011 62360.2534489 1630.44602956 1618.56903762 2037.96659371 57648.4131741 1586.1121439 1599.23653325 1982.55170949 59264.0124705 1540.92239245 1521.00189171 1926.06704079 58752.4282231 1494.94108198 1508.97536042 1868.59296744 61331.377162 1448.23340531 1431.53835489 1868.59296744 60377.9133834 1400.86532898 1349.88727702 1926.06704079 60721.3562954 1352.90347969 1349.23174209 1982.55170949 59858.4739804 1304.41502992 1306.5439851 2037.96659371 59562.1284975 1255.46758297 1292.89437378 2092.23256011 57300.4183901 1206.12905741 1273.17768106 2145.27185888 56947.2156308 1156.46757153 1117.1633401 2197.00825865 56490.6717996 1106.55132758 1153.28404725 2247.36717897 58886.8139533 1056.4484964 1167.5091437 2296.27582016 57067.126083 1006.22710236 1110.63506866 2343.66329027 60973.1690249 955.954909074 958.161504522 2389.46072888 57464.8498148 905.699305861 970.628178149 2433.60142756 64656.7230985 855.527195371 735.736758926 2476.02094667 67682.2892083 805.504882455 748.975581466 2516.65722837 72197.1999551 755.69796453 859.14284406 2555.45070557 77440.7520163 706.171223651 667.094993646 2592.34440663 83169.5679223 656.98852046 609.965617461 2627.28405559 85419.1305353 608.212690228 714.589287213 2660.21816775 88682.479933 559.905441173 561.087191508 2691.09814044 93436.430042 512.127255235 568.941530472 2719.87833878 95463.7712526 464.937291495 385.371793908 2746.51617619 101832.272206 418.393292403 490.592802261 2770.97218973 103200.191055 372.551492992 229.898876231 2793.21010977 106084.344007 327.466533235 302.675399202 2813.19692422 107804.269727 283.191373696 105.823730722 2830.90293697 108759.515501 239.777214634 292.118536595 2846.30182042 111662.942225 197.273418691 190.015221283 2859.37066216 112361.088587 155.727437301 159.290373715 2870.09000561 115669.623716 115.184740949 55.7857783082 2878.44388444 114489.328041 75.6887533904 35.3397739223 2884.41985094 116652.790763 37.2807899512 126.618387373 2888.00899808 116180.553929 4.92861824732e-12 79.2672893955 2889.20597532 119472.553265 2224.73137826 4258.85154046 2966.13832292 108730.461856 2223.80968806 2380.70620111 2964.90947316 115156.325209 2221.04599162 2283.10323026 2961.22475599 117261.542935 2216.44440894 2276.29813923 2955.0896644 112425.811814 2210.01179855 2296.04164147 2946.51334262 115587.447427 2201.75774539 2315.26432783 2935.5085698 117919.789691 2191.69454375 2090.06458679 2922.0917374 105668.950499 2179.8371755 2179.73770636 2906.2828201 108861.979515 2166.20328353 2140.64050995 2888.10534041 105553.043489 2150.81314048 2177.37483212 2867.58632694 96718.2640661 2133.6896128 2204.43313419 2844.75626657 102695.68327 2114.85812028 2217.87794922 2819.6490504 99370.3306184 2094.34659107 2248.71766977 2792.30191382 96313.6165821 2072.18541224 2015.53271815 2762.7553706 93078.4678793 2048.40737606 2028.34949222 2731.05314127 90340.3521083 2023.04762208 2002.56910675 2697.24207586 82276.7237585 1996.14357507 2035.43984226 2661.37207122 80904.263323 1967.73487901 2002.1933443 2623.49598294 78776.6151311 1937.86332719 1902.23161513 2583.66953221 66505.5215135 1906.57278863 1904.01193834 2541.95120771 67036.9568912 1873.90913086 1885.07348012 2498.40216262 62381.2802934 1839.92013933 1899.68983294 2453.08610725 58787.8304836 1804.65543353 1734.7193038 2406.0691971 56874.2294028 1768.16637993 1811.55698719 2357.41991687 56774.7026184 1730.50600208 1693.57048682 2307.20896058 54554.6767966 1691.72888782 1748.14730599 2255.50910784 56862.4876425 1651.891094 1662.78868952 2202.39509681 56745.4187154 1611.05004865 1656.48216931 2147.94349382 56565.7710599 1569.26445106 1610.21838076 2092.23256011 55751.0906906 1526.59416975 1596.31176207 2035.34211576 61252.8089804 1483.10013854 1461.5733156 1977.35340124 61119.8888419 1438.84425111 1403.699542 1918.3489367 61212.610452 1393.88925398 1367.05430286 1918.3489367 60608.6279955 1348.29863831 1338.35142087 1977.35340124 59270.9041228 1302.13653068 1373.93847962 2035.34211576 59403.9541041 1255.46758297 1220.65571263 2092.23256011 57394.001222 1208.35686167 1218.17485505 2147.94349382 54696.3895653 1160.86973679 1213.60579277 2202.39509681 57634.313925 1113.07177049 1094.52608315 2255.50910784 56355.188381 1065.02860577 1073.07058335 2307.20896058 57696.5642289 1016.8058554 1083.05357206 2357.41991687 54711.1033546 968.468991186 1029.32717958 2406.0691971 58232.579835 920.08323393 857.776855882 2453.08610725 58170.1359845 871.713444217 944.734639924 2498.40216262 63485.0239798 823.424014209 840.696682683 2541.95120771 67593.7480428 775.278760704 811.656783672 2583.66953221 72111.6203302 727.340819613 770.156654985 2623.49598294 76666.1752661 679.672542081 756.077527073 2661.37207122 81289.701989 632.335392414 553.474550439 2697.24207586 86375.771241 585.389848026 591.300283565 2731.05314127 88529.0965712 538.895301566 492.405690961 2762.7553706 91478.9340693 492.909965426 455.149208195 2792.30191382 96849.9339646 447.490778773 460.373871862 2819.6490504 97055.4931049 402.693317305 442.462997706 2844.75626657 101915.293487 358.571705866 300.518691281 2867.58632694 103850.643393 315.178534095 250.43383554 2888.10534041 107660.343747 272.56477524 217.753499754 2906.2828201 107687.437949 230.779708299 121.287157871 2922.0917374 111299.725853 189.870843609 206.842580669 2935.5085698 115031.07167 149.883852014 143.685684423 2946.51334262 114953.596434 110.862497745 116.987885944 2955.0896644 114171.33542 72.8485751059 157.936096029 2961.22475599 114517.745098 35.8818490874 44.8988200888 2964.90947316 115973.709205 5.05959218006e-12 90.7165724948 2966.13832292 114552.074832 2137.30182815 7187.55105934 3041.33163542 111558.167595 2136.41635939 2164.41324873 3040.07163362 115994.302795 2133.76127325 2042.18174314 3036.29350674 114263.622976 2129.34052781 2240.37686668 3030.00288706 110931.223032 2123.1607121 2082.79447595 3021.20915058 110046.889698 2115.23103434 2093.24922606 3009.92540044 110390.733758 2105.5633057 2054.0611859 2996.16844362 110323.997491 2094.17191927 1965.76741203 2979.95876118 106906.20981 2081.07382459 2131.82847314 2961.32047192 104342.885487 2066.28849761 2101.86471666 2940.28128966 102378.399851 2049.83790614 1898.2956174 2916.87247412 98743.0525779 2031.74647103 1953.96256912 2891.12877559 98650.5328397 2012.04102285 2000.60050792 2863.08837337 93495.7058134 1990.75075451 2054.58782076 2832.79280829 89972.3451258 1967.90716957 1992.39666507 2800.2869092 89466.8009331 1943.54402665 1855.19154626 2765.61871384 81749.1207918 1917.69727975 1884.07578332 2728.83938395 80116.544994 1890.40501488 1828.89025222 2690.00311504 76477.1720289 1861.70738292 1766.0903081 2649.16704089 69878.512184 1831.64652887 1752.38002836 2606.39113286 68740.3008769 1800.26651771 1851.44555824 2561.73809444 60849.4881791 1767.61325699 1766.35045227 2515.273251 57612.9111013 1733.73441619 1730.89159304 2467.06443513 54871.4399876 1698.67934315 1614.14938231 2417.18186767 57109.1633255 1662.49897764 1584.66563231 2365.69803475 57417.1908999 1625.24576226 1650.57417552 2312.68756101 57830.5441588 1586.97355088 1579.86688024 2258.22707925 57146.6467572 1547.73751468 1592.55350296 2202.39509681 56212.6899566 1507.59404613 1520.97065188 2145.27185888 56822.5095076 1466.60066097 1490.09125567 2086.93920905 60097.3048031 1424.81589841 1415.17058882 2027.48044726 59106.7633304 1382.29921975 1402.34580325 1966.98018561 59494.7084903 1339.11090565 1274.76934122 1966.98018561 59832.963566 1295.31195214 1358.72182445 2027.48044726 57799.0329141 1250.96396568 1224.21775234 2086.93920905 60684.5148524 1206.12905741 1177.33932928 2145.27185888 57281.6413281 1160.86973679 1170.14358902 2202.39509681 56816.7512169 1115.24880484 1017.32142943 2258.22707925 58892.6448034 1069.3292472 1053.70219188 2312.68756101 58037.8858596 1023.17412718 989.501543171 2365.69803475 58092.6417883 976.846479025 969.493351856 2417.18186767 57601.380197 930.409201578 969.584569167 2467.06443513 56599.138172 883.924952536 839.621372875 2515.273251 58112.0868332 837.456043528 842.590930275 2561.73809444 63451.407629 791.064336177 773.524920612 2606.39113286 66557.7323542 744.811139346 687.982717917 2649.16704089 74198.6286907 698.757107776 710.411152054 2690.00311504 74725.6204265 652.962142275 686.010210675 2728.83938395 81076.93552 607.485291672 595.160955117 2765.61871384 81890.7022657 562.38465668 514.910845629 2800.2869092 89248.8314068 517.717295884 579.013104192 2832.79280829 90986.595852 473.539133989 405.535333395 2863.08837337 96684.9001001 429.904872516 400.194875584 2891.12877559 96914.69381 386.867903096 369.16454595 2916.87247412 101441.359887 344.480223528 462.127241059 2940.28128966 100095.683432 302.792356731 341.75870056 2961.32047192 103004.060334 261.853272761 252.830847241 2979.95876118 107551.81468 221.710314004 276.236325688 2996.16844362 110103.778476 182.409123692 136.56903681 3009.92540044 109497.171497 143.993577854 145.547110675 3021.20915058 110546.155128 106.505720834 42.4045281751 3030.00288706 109692.677877 69.9857044647 41.4954041558 3036.29350674 113867.934108 34.471731015 72.7887913644 3040.07163362 117076.993887 4.67748507303e-12 168.424495255 3041.33163542 112249.624348 2049.29998133 4540.57247557 3114.67784032 113167.829976 2048.4509711 2083.94554271 3113.38745171 110962.556024 2045.90520619 2184.31338449 3109.51820972 109947.608944 2041.66648173 2060.19501715 3103.07588246 109849.834156 2035.74111543 2076.57806097 3094.07007204 114602.450224 2028.13793639 2072.38612764 3082.5141976 108155.943311 2018.86826943 2065.40607942 3068.42547144 106570.672034 2007.94591505 1992.84754475 3051.82486856 108301.865675 1995.38712488 2025.22133614 3032.73708942 103186.148191 1981.21057297 2020.79909571 3011.1905162 101295.972011 1965.43732263 1945.20636597 2987.2171625 100091.632774 1948.09078919 1936.58468695 2960.85261665 97148.4585034 1929.1966985 1998.38800664 2932.13597871 94303.3679837 1908.78304145 1863.83391659 2901.10979133 89720.7319333 1886.8800245 1893.64773593 2867.81996447 87045.1458394 1863.52001624 1890.5427754 2832.31569437 84395.1518003 1838.73749033 1759.45303288 2794.6493766 79290.5875603 1812.5689646 1817.87904472 2754.87651371 72770.0280121 1785.05293675 1782.17083774 2713.0556173 68557.7647218 1756.22981647 1661.57919454 2669.24810507 64622.0653885 1726.14185443 1773.20429305 2623.51819266 60064.2526495 1694.83306795 1651.25357388 2575.93278089 55565.1415514 1662.34916375 1680.49520137 2526.56133821 58321.3341961 1628.73745783 1705.24907563 2475.47577896 53715.244761 1594.04679252 1481.59194969 2422.75033736 55914.762348 1558.32745117 1509.38976792 2368.46143774 56574.1431764 1521.63107023 1583.03157903 2312.68756101 57686.3297717 1484.01054926 1462.31130341 2255.50910784 55124.5678533 1445.51995881 1444.51110809 2197.00825865 58134.2197206 1406.21444644 1372.40665654 2137.2688308 60218.1952346 1366.15014105 1475.61036758 2076.37613315 58790.2553235 1325.38405569 1293.99692704 2014.41681831 58836.0182108 1283.97398898 1288.33109176 2014.41681831 59953.5991886 1241.97842549 1314.16888621 2076.37613315 57934.8933701 1199.45643509 1208.18151925 2137.2688308 59231.9859137 1156.46757153 1155.77034257 2197.00825865 55918.4844397 1113.07177049 1097.41469969 2255.50910784 56191.8212701 1069.3292472 1114.91839195 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3032.73708942 103960.364863 251.071654883 170.434404783 3051.82486856 108143.646211 212.581553229 177.857064543 3068.42547144 107220.729159 174.898560817 203.575627839 3082.5141976 111097.580512 138.064747113 81.1630671409 3094.07007204 110492.083872 102.120425315 115.808459348 3103.07588246 111491.724927 67.1040940327 173.465303854 3109.51820972 115901.855019 33.0523825858 59.0152095961 3113.38745171 111321.443916 4.99144970723e-12 85.4998263424 3114.67784032 111768.617146 1960.84669452 6940.47228692 3186.07120562 108185.927986 1960.03432985 1964.34668795 3184.75123925 108991.514133 1957.59844699 2076.22604845 3180.79330809 109715.401461 1953.54267725 1945.13720382 3174.20331245 110057.193818 1947.87306566 1896.20308912 3164.99107455 104606.360819 1940.59806023 1985.48355794 3153.1703211 107134.339523 1931.72849698 2003.84705469 3138.75865895 106152.601409 1921.27758072 1996.33719744 3121.77754387 103051.264572 1909.26086164 2011.44220568 3102.25224251 102850.272012 1895.69620775 2026.85345767 3080.2117876 98999.944177 1880.60377323 1874.00037961 3055.68892653 97934.5408191 1864.00596272 1872.54363636 3028.7200634 94796.156446 1845.92739169 1840.24515712 2999.34519449 90390.6589395 1826.39484287 1778.22188471 2967.60783759 88528.9509079 1805.4372189 1731.83062228 2933.554955 83402.5333677 1783.08549129 1751.81748531 2897.23687061 79930.9407612 1759.37264571 1731.727508 2858.70718099 76276.1855721 1734.33362378 1680.53134499 2818.02266088 72004.0515443 1708.00526153 1745.31744604 2775.24316308 68434.9765716 1680.42622448 1677.71978712 2730.43151305 65988.276725 1651.63693962 1638.84430401 2683.65339839 60064.6354074 1621.67952439 1571.15283658 2634.97725336 54754.5773182 1590.59771267 1614.96259084 2584.47413877 56343.9287456 1558.43677818 1622.23077966 2532.21761732 55233.0174693 1525.24345509 1490.85149586 2478.28362482 56829.4865121 1491.06585637 1464.61356513 2422.75033736 56487.1789165 1455.95338971 1422.28830872 2365.69803475 55432.6336409 1419.95667138 1361.86114688 2307.20896058 57044.9370956 1383.12743811 1475.87741818 2247.36717897 59803.3510182 1345.51845714 1295.98019046 2186.25842851 60695.7395806 1307.18343469 1312.9286007 2123.96997347 61387.4992143 1268.17692297 1239.7653561 2060.59045268 59553.6244042 1228.55422587 1274.02040825 2060.59045268 57844.5772045 1188.3713036 1206.5397848 2123.96997347 58171.754131 1147.68467642 1181.2325025 2186.25842851 58951.4960109 1106.55132758 1194.73989855 2247.36717897 59295.5124625 1065.02860577 1068.1953393 2307.20896058 57158.3710746 1023.17412718 1092.17392293 2365.69803475 57491.9951335 981.045677358 1022.0089409 2422.75033736 56438.4805407 938.701113135 947.340598524 2478.28362482 55626.1940971 896.198264661 914.134376637 2532.21761732 55459.7888051 853.594837861 845.537643482 2584.47413877 55492.7672364 810.94831743 847.138981134 2634.97725336 54270.2639716 768.315870564 854.008122245 2683.65339839 59512.4190545 725.754251604 821.35024056 2730.43151305 63270.4367054 683.319707768 747.376057943 2775.24316308 68684.6595496 641.067886156 622.894987891 2818.02266088 70562.6011728 599.053742181 625.51469104 2858.70718099 76600.9200841 557.331449612 563.267157704 2897.23687061 80119.3986278 515.954312382 514.219491403 2933.554955 86102.2312043 474.974678334 478.590651977 2967.60783759 91671.3488234 434.44385504 514.359809467 2999.34519449 89970.2261742 394.412027878 452.524204111 3028.7200634 93041.5681875 354.928180479 332.964830039 3055.68892653 96398.7982552 316.040017715 343.1157155 3080.2117876 98077.7189053 277.793891344 178.370402168 3102.25224251 98615.5149722 240.234728468 196.753231719 3121.77754387 101229.168684 203.405962896 277.273507992 3138.75865895 103277.966136 167.349469565 310.23445638 3153.1703211 109074.616228 132.105502109 192.025729861 3164.99107455 105969.908692 97.7126337022 92.5203681001 3174.20331245 109095.641362 64.20770125 114.423437928 3180.79330809 112848.917589 31.6257530522 159.691877522 3184.75123925 112342.981365 4.90855353417e-12 53.641735236 3186.07120562 109427.353527 1872.06276876 4634.36150971 3255.40852391 107478.171108 1871.28718663 1882.72933208 3254.05983159 110783.928322 1868.96159656 1970.25935138 3250.0157654 111390.095425 1865.08946543 1892.91438296 3243.28235406 109440.734864 1859.67656456 1828.30182119 3233.86963354 101567.295039 1852.73095946 1823.62907353 3221.7916293 104804.816857 1844.2629955 1765.64394906 3207.06633135 104691.96737 1834.2852796 1795.62936433 3189.71566239 101360.827372 1822.81265788 1843.78140968 3169.76543894 98322.767009 1809.86218929 1767.16534361 3147.24532556 96781.0530932 1795.45311548 1790.21736558 3122.18878232 95103.0884377 1779.60682664 1779.38957492 3094.63300554 94909.8245381 1762.34682369 1745.87364572 3064.61886196 89904.8632263 1743.69867667 1747.81665194 3032.1908164 85826.1111126 1723.68997958 1730.87900552 2997.39685322 84489.0449435 1702.35030158 1709.09858122 2960.28839146 77465.7115636 1679.71113479 1772.80088925 2920.92019411 78336.2267018 1655.80583876 1636.4583579 2879.35027146 71982.5824257 1630.66958161 1615.68885522 2835.63977888 69186.6564089 1604.33927817 1582.69437999 2789.85290908 63364.2884401 1576.85352497 1548.01289167 2742.05677918 59308.5213602 1548.25253241 1590.64445566 2692.32131277 54672.0863654 1518.57805421 1545.48712408 2640.71911711 54245.8910972 1487.87331414 1533.85786557 2587.32535584 54074.8990154 1456.18293034 1417.86638094 2532.21761732 55746.7193 1423.55283729 1493.44833848 2475.47577896 55200.9469307 1390.03020559 1324.465691 2417.18186767 56569.2258527 1355.6633597 1346.36921342 2357.41991687 55107.1004156 1320.50169377 1288.70866325 2296.27582016 56887.897519 1284.59558584 1330.79884475 2233.83718201 57744.9932231 1247.9963104 1265.25759057 2170.19316579 57924.7260147 1210.75594962 1118.02942039 2105.43433936 60743.6888574 1172.92730333 1148.80407923 2105.43433936 58480.6812918 1134.56379795 1104.08229791 2170.19316579 59570.5525853 1095.71939459 1167.23881019 2233.83718201 58304.5575924 1056.4484964 1009.01804303 2296.27582016 55274.2343869 1016.8058554 1038.93313444 2357.41991687 53248.6822434 976.846479025 905.584154764 2417.18186767 56492.0201665 936.625536392 942.813342637 2475.47577896 57748.7941564 896.198264661 862.29222268 2532.21761732 55916.81169 855.619875531 863.821524375 2587.32535584 53646.2673874 814.945462097 777.735674952 2640.71911711 53419.7242667 774.229906241 811.762915646 2692.32131277 54205.7011464 733.527786722 708.381684468 2742.05677918 58278.7683513 692.893288137 709.074357405 2789.85290908 61933.7063768 652.380110923 772.252520647 2835.63977888 66304.6301964 612.04138257 552.205708 2879.35027146 71246.3626901 571.9295702 685.640632639 2920.92019411 77416.0753973 532.096394682 599.989779267 2960.28839146 80587.5418178 492.592746436 537.230047083 2997.39685322 84269.333598 453.468603077 393.308624047 3032.1908164 84996.3776936 414.772949059 307.157743659 3064.61886196 89513.2043827 376.553697444 304.548540932 3094.63300554 92692.4675054 338.857613967 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60833.35111 1.30550995298e-12 1669.23495751 4096.0 42685.6345491
отноешние максимумов, функция зашумлена
In [358]:
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 0.3)
ax.set_xlim(0,64)
ax.set_ylim(0,64)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
In [360]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
for j in range(64):
z[i,j] = compare(i,j,6, True)
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/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in double_scalars app.launch_new_instance()
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2881.77577581 2894.1579212 65299.2141214 2835.63977888 2896.09860186 2835.63977888 69404.3517975 2775.24316308 2753.12932108 2775.24316308 68174.6876859 2713.0556173 2719.25970987 2713.0556173 70383.0571591 2649.16704089 2660.24558753 2649.16704089 72857.6315337 2583.66953221 2482.11476821 2583.66953221 68296.9967027 2516.65722837 2561.71580024 2516.65722837 74646.4234389 2448.22614154 2429.84263147 2448.22614154 73735.47029 2378.4739924 2341.28718747 2378.4739924 72347.9746703 2307.50004093 2251.44883144 2307.50004093 74335.295253 2235.40491483 2225.0406939 2307.50004093 72826.4906645 2162.29043601 2148.26997762 2378.4739924 72733.4290869 2088.2594454 2092.41709617 2448.22614154 72278.9465015 2013.41562636 2051.06424427 2516.65722837 73158.1014112 1937.86332719 1919.95607951 2583.66953221 67052.5700899 1861.70738292 1924.920628 2649.16704089 70334.0935873 1785.05293675 1764.1090891 2713.0556173 71009.2248565 1708.00526153 1618.27645625 2775.24316308 68702.4081402 1630.66958161 1641.78868244 2835.63977888 69776.4828501 1553.1508953 1548.79062779 2894.1579212 66384.8410573 1475.55379835 1576.76443029 2950.71255526 64862.181361 1397.98230883 1317.64457686 3005.22130371 63703.8831614 1320.5396936 1386.66557238 3057.60459091 59336.8207703 1243.32829678 1289.51665954 3107.78578249 56053.1496158 1166.44937055 1089.47133931 3155.69131986 60423.6837313 1090.00290856 1030.3559649 3201.25084951 64074.1197765 1014.08748219 944.062866094 3244.39734679 67282.3091189 938.80008016 988.587718866 3285.06723397 71026.6280105 864.235951503 945.728905316 3323.20049225 75621.5831768 790.488452463 946.131703326 3358.74076774 77307.4623014 717.648897397 678.080507979 3391.63547087 78230.9508659 645.806414034 690.172306487 3421.83586936 81379.3571392 575.04780335 580.944888897 3449.29717436 83898.003995 505.457404277 437.83213464 3473.97861969 84969.1256055 437.116963519 481.999560738 3495.84353401 84085.30825 370.10551068 366.449043619 3514.85940574 86572.5384421 304.499238928 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2170.19316579 2159.38982639 2170.19316579 59262.717659 2123.96997347 2027.44174174 2123.96997347 59345.0029879 2076.37613315 2058.47197665 2076.37613315 59111.8516599 2027.48044726 2088.06214611 2027.48044726 59067.4120044 1977.35340124 2038.00931919 1977.35340124 60037.5604527 1926.06704079 1941.8233991 1926.06704079 58178.5151119 1873.69484666 1907.66194 1873.69484666 60447.7145111 1820.31160719 1898.86005582 1820.31160719 58360.4432075 1765.99328877 1784.26722102 1765.99328877 60007.6927112 1710.81690455 1658.40908572 1765.99328877 60930.8226643 1654.86038164 1706.10305677 1820.31160719 58669.0694565 1598.20242703 1666.25464828 1873.69484666 60812.5030941 1540.92239245 1507.04644168 1926.06704079 58044.1099776 1483.10013854 1390.17748337 1977.35340124 57221.1561162 1424.81589841 1465.16187615 2027.48044726 58704.9221689 1366.15014105 1362.26748198 2076.37613315 60630.7799328 1307.18343469 1242.55005892 2123.96997347 57471.5142786 1247.9963104 1314.20270021 2170.19316579 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116532.324921 183.96284139 253.359611611 2712.50067639 114690.160829 136.069228371 76.9930924012 2720.39586502 116551.269013 89.412106025 64.2525079422 2726.04370643 117874.646476 44.0402806824 126.392117363 2729.43578264 117182.926823 6.9189901892e-12 116.35268418 2730.56703691 118795.457994 2649.08658642 7907.05408582 2649.08658642 117370.590961 2647.98908892 2798.63221086 2647.98908892 120510.144776 2644.69823267 2619.05574231 2644.69823267 118772.8342 2639.21892353 2596.06057342 2639.21892353 116191.165039 2631.55932828 2539.52419634 2631.55932828 114165.807568 2621.73086012 2599.40391591 2621.73086012 113850.516405 2609.74815842 2547.11756458 2609.74815842 113330.22322 2595.62906274 2601.31941483 2595.62906274 111474.948843 2579.39458127 2545.22884855 2579.39458127 109525.976805 2561.06885354 2535.14308468 2561.06885354 104193.07564 2540.67910764 2686.43164648 2540.67910764 105112.678536 2518.25561206 2584.85698952 2518.25561206 104574.427752 2493.83162208 2510.9972156 2493.83162208 99139.0946769 2467.44332093 2378.58046364 2467.44332093 96199.9467394 2439.12975583 2354.31932484 2439.12975583 89977.142655 2408.93276901 2337.58193367 2408.93276901 88381.1838684 2376.89692381 2333.72221405 2376.89692381 81663.80723 2343.06942607 2475.40848015 2343.06942607 79261.8703532 2307.50004093 2342.57270471 2307.50004093 74059.8088629 2270.24100516 2300.8351229 2270.24100516 69086.2385052 2231.34693529 2230.17603853 2231.34693529 65575.7863651 2190.87473158 2157.30004232 2190.87473158 59908.0209986 2148.88347815 2175.79498913 2148.88347815 58502.9430478 2105.43433936 2226.29290418 2105.43433936 58599.8886889 2060.59045268 2047.53493227 2060.59045268 59400.7847374 2014.41681831 2024.56417014 2014.41681831 61167.6731277 1966.98018561 1996.68481483 1966.98018561 61026.6067529 1918.3489367 1812.99885713 1918.3489367 60957.1533194 1868.59296744 1850.14429203 1868.59296744 59146.800588 1817.78356592 1814.04534725 1817.78356592 60755.6126974 1765.99328877 1716.74669501 1765.99328877 58539.0227043 1713.29583554 1680.19035245 1713.29583554 60555.6573004 1659.76592129 1717.94159721 1713.29583554 59588.0254555 1605.47914779 1573.56496857 1765.99328877 60404.2808675 1550.5118734 1560.63273265 1817.78356592 59747.5936972 1494.94108198 1529.86268809 1868.59296744 60535.139971 1438.84425111 1364.88232828 1918.3489367 59357.1332092 1382.29921975 1429.18044685 1966.98018561 60640.3006999 1325.38405569 1340.93998748 2014.41681831 59856.5974713 1268.17692297 1302.92490981 2060.59045268 58772.6808998 1210.75594962 1238.24850592 2105.43433936 57790.1798597 1153.19909585 1099.87939638 2148.88347815 59612.3986565 1095.58402296 1026.47400209 2190.87473158 58855.8809356 1037.98796333 1060.55065069 2231.34693529 63210.5028278 980.487591579 899.565241473 2270.24100516 67550.4752373 923.158897199 944.622182377 2307.50004093 71962.7678206 866.077058931 857.238259497 2343.06942607 78641.1552428 809.316321054 846.200540958 2376.89692381 83485.5736469 752.949871852 794.658517401 2408.93276901 89313.952847 697.049724469 590.671211479 2439.12975583 89981.9482587 641.686600376 637.542426457 2467.44332093 95605.2910162 586.929815655 704.122604907 2493.83162208 96873.7725445 532.847170305 525.131282683 2518.25561206 101602.808194 479.504840781 451.466603855 2540.67910764 102635.799217 426.967275943 372.630412653 2561.06885354 104392.316634 375.29709661 516.863545986 2579.39458127 110434.571634 324.554998898 158.500939764 2595.62906274 108306.687612 274.7996615 391.562296416 2609.74815842 113314.421212 226.087657086 224.01353994 2621.73086012 118041.389507 178.473367963 183.779117873 2631.55932828 117419.362532 132.008906147 170.595455871 2639.21892353 118256.479042 86.7440379719 56.5358263568 2644.69823267 116959.858765 42.7261133827 122.418226304 2647.98908892 119501.849582 6.50042806543e-12 134.785191084 2649.08658642 116730.455338 2566.31899027 4432.75264367 2649.08658642 121316.979316 2565.25578279 2688.47294456 2647.98908892 120908.851384 2562.06774547 2614.87865711 2644.69823267 119312.028715 2556.75963091 2737.42582882 2639.21892353 118499.127021 2549.33935071 2751.12206536 2631.55932828 118902.665911 2539.81796148 2643.7365842 2621.73086012 115551.921812 2528.2096452 2469.01512016 2609.74815842 112811.5979 2514.53168408 2524.90130254 2595.62906274 109562.841129 2498.8044299 2540.47695315 2579.39458127 109924.417755 2481.05126798 2534.49561883 2561.06885354 108220.520115 2461.29857572 2451.28137798 2540.67910764 105023.232784 2439.5756759 2496.8966648 2518.25561206 102047.872455 2415.91478477 2341.02390983 2493.83162208 96981.6409127 2390.35095507 2407.39615235 2467.44332093 97707.3643869 2362.92201403 2301.41678499 2439.12975583 89476.6704426 2333.66849656 2377.65782313 2408.93276901 88537.1327116 2302.63357369 2358.23358152 2376.89692381 83149.3662029 2269.86297635 2330.9896316 2343.06942607 81169.6375444 2235.40491483 2210.92321465 2307.50004093 72901.0535194 2199.30999383 2157.69510819 2270.24100516 69555.672524 2161.63112345 2082.33253715 2231.34693529 65122.8109987 2122.42342617 2203.88990932 2190.87473158 58537.3970219 2081.74414009 2074.81015846 2148.88347815 59517.8165972 2039.65251855 1927.2133602 2105.43433936 60422.7807899 1996.2097264 1949.69220038 2060.59045268 59552.1007531 1951.47873296 2016.33424505 2014.41681831 59682.0015861 1905.52420207 1896.47321478 1966.98018561 59523.5365948 1858.41237937 1857.95426597 1918.3489367 59039.6562266 1810.21097687 1877.06158671 1868.59296744 58809.8857782 1760.98905537 1753.99766057 1817.78356592 59400.0769837 1710.81690455 1692.26613396 1765.99328877 60926.0772385 1659.76592129 1720.09223226 1713.29583554 58694.2490508 1607.90848629 1536.51594525 1713.29583554 61990.524883 1555.31783921 1547.11003164 1765.99328877 59167.8423415 1502.06795268 1457.71194444 1817.78356592 60743.8559646 1448.23340531 1385.44155439 1868.59296744 57832.1603421 1393.88925398 1368.70666788 1918.3489367 58420.5466511 1339.11090565 1310.07653996 1966.98018561 59278.7052188 1283.97398898 1276.50845069 2014.41681831 59181.314366 1228.55422587 1167.6763308 2060.59045268 60370.7134934 1172.92730333 1081.23279665 2105.43433936 58304.8980133 1117.16874579 1136.24922589 2148.88347815 58477.4183826 1061.35378812 1080.94703749 2190.87473158 59903.8713341 1005.55724967 1029.53897727 2231.34693529 65767.7146137 949.853409433 976.575343686 2270.24100516 68385.1552104 894.315882714 788.676632089 2307.50004093 72937.9632473 839.017499378 765.753618681 2343.06942607 80393.7647508 784.030184028 893.127628434 2376.89692381 82511.4229002 729.424838267 749.948331554 2408.93276901 87986.216267 675.271225273 768.635983897 2439.12975583 91179.5892255 621.637856908 690.83164801 2467.44332093 93844.300845 568.591883554 607.899136007 2493.83162208 96265.1275265 516.198986879 497.623902645 2518.25561206 101631.337449 464.523275733 386.939150191 2540.67910764 106690.294208 413.627185345 313.570068784 2561.06885354 105365.261987 363.571380023 385.927603729 2579.39458127 109891.950803 314.414659501 349.681070987 2595.62906274 110325.701072 266.213869128 322.302802838 2609.74815842 114668.207583 219.023814027 289.212267684 2621.73086012 115321.64721 172.897177393 268.69618096 2631.55932828 113018.805732 127.884443063 130.438464594 2639.21892353 118728.089141 84.033822481 136.957406016 2644.69823267 117189.291211 41.3911861985 46.532465896 2647.98908892 118785.51851 6.26261535971e-12 160.003677444 2649.08658642 117232.770187 2482.3811434 7471.92981557 2730.56703691 115430.729752 2481.35271076 2563.64906414 2729.43578264 119471.568632 2478.26894613 2596.26529243 2726.04370643 118455.984708 2473.13444666 2558.3341995 2720.39586502 116540.136831 2465.95686519 2437.60319692 2712.50067639 114184.718979 2456.74689668 2446.05507884 2702.36990478 114139.775266 2445.51825926 2472.75552133 2690.01863983 111706.129457 2432.28766988 2507.18969327 2675.46526984 111301.367177 2417.07481467 2451.29586711 2658.73144914 109167.321745 2399.90231408 2321.51397047 2639.84205974 105927.650399 2380.79568276 2439.05656639 2618.82516723 104398.230459 2359.78328442 2332.07923507 2595.71197108 98907.4483983 2336.8962816 2210.63459944 2570.53674944 98630.8213084 2312.16858055 2388.42502603 2543.33679847 96157.2104039 2285.63677126 2223.02109576 2514.15236639 92019.2342908 2257.34006286 2248.8882027 2483.02658241 86457.5307678 2227.32021434 2262.16965772 2450.00538056 82498.9859404 2195.62146091 2170.90112368 2415.13741862 79169.7445684 2162.29043601 2245.31832835 2378.4739924 74443.9156624 2127.3760892 2148.77015232 2340.06894539 70716.3613267 2090.92960001 2066.9889091 2299.97857399 62303.9618007 2053.00428801 2070.19819064 2258.26152861 63004.5965999 2013.65551917 1956.68430088 2214.97871065 58569.3159299 1972.94060884 1954.82265597 2170.19316579 57908.9864072 1930.91872128 1901.38108192 2123.96997347 58578.045113 1887.65076625 1896.16812957 2076.37613315 60373.6748925 1843.19929262 1900.75217604 2027.48044726 59353.431455 1797.62837928 1747.41769508 1977.35340124 60165.8549005 1751.00352357 1811.76409745 1926.06704079 60235.2596701 1703.39152746 1733.51742064 1873.69484666 61037.6734975 1654.86038164 1635.36178848 1820.31160719 61114.9433469 1605.47914779 1587.37556127 1765.99328877 59494.4341682 1555.31783921 1572.22316947 1765.99328877 59702.5559321 1504.44730007 1508.57601754 1820.31160719 61762.7560101 1452.93908355 1498.05607368 1873.69484666 60080.8205504 1400.86532898 1307.22175165 1926.06704079 59929.5902715 1348.29863831 1295.52979742 1977.35340124 60316.1118188 1295.31195214 1211.18054533 2027.48044726 59348.6342553 1241.97842549 1262.49399071 2076.37613315 60047.0400374 1188.3713036 1182.8008715 2123.96997347 59075.7300657 1134.56379795 1136.98267512 2170.19316579 57949.1636335 1080.62896275 1189.6907572 2214.97871065 58251.7281004 1026.63957212 928.275824605 2258.26152861 57838.5997565 972.667998265 1037.72905509 2299.97857399 63416.8713655 918.786090702 912.927144832 2340.06894539 69860.0182118 865.065056956 968.795060657 2378.4739924 76702.6540795 811.575344815 838.313083437 2415.13741862 77262.187583 758.386526407 710.364455579 2450.00538056 81874.938544 705.567184322 731.904432486 2483.02658241 87158.0258046 653.184799961 631.67073573 2514.15236639 91154.1235143 601.305644333 552.777306036 2543.33679847 95310.9478104 549.994671502 656.484523603 2570.53674944 97402.4510105 499.315414852 505.519761725 2595.71197108 102060.919837 449.329886393 478.083741997 2618.82516723 102826.740976 400.098479257 328.481686732 2639.84205974 105551.644992 351.679873573 400.32990314 2658.73144914 106555.040464 304.130945885 200.71171388 2675.46526984 112810.050445 257.506682271 309.267989391 2690.01863983 110944.636584 211.860095318 290.902007981 2702.36990478 112893.893116 167.242145086 160.01808709 2712.50067639 114624.15994 123.701664211 100.595330758 2720.39586502 119404.251623 81.2852872636 64.2252011517 2726.04370643 121305.123003 40.0373844839 77.3608953037 2729.43578264 116365.507016 5.46169853615e-12 109.880409168 2730.56703691 115253.166766 2397.39111057 4352.30871879 2810.64481779 119521.184935 2396.39788869 2445.77472768 2809.48038787 117264.500316 2393.41970385 2314.39521557 2805.98883417 116679.886672 2388.46099578 2480.11400996 2800.17536174 119129.270018 2381.52915534 2314.95349033 2792.04863543 114266.897835 2372.6345113 2434.79595799 2781.62076446 114844.078373 2361.79031214 2467.66359009 2768.90728101 116822.678574 2349.01270244 2286.86761241 2753.92711265 107495.341053 2334.32069435 2211.72431338 2736.70254874 109256.289621 2317.73613384 2368.35741163 2717.259201 105884.185827 2299.28366203 2376.25268561 2695.62595807 106765.842492 2278.99067152 2220.61354822 2671.83493442 98785.3015217 2256.88725793 2299.76468228 2645.92141343 98712.4649899 2233.00616664 2388.26156455 2617.92378501 92998.9510987 2207.38273492 2305.58266631 2587.88347775 89984.3969867 2180.05482946 2145.80390989 2555.84488568 85954.7350313 2151.06277956 2174.19808107 2521.85528988 82059.3069528 2120.44930593 2117.91749305 2485.96477513 78180.5044833 2088.2594454 2115.97039259 2448.22614154 73409.3085877 2054.54047162 2019.56068941 2408.69481164 67647.8360191 2019.34181189 2033.73693529 2367.4287328 64033.6933008 1982.71496024 1954.48877201 2324.48827543 61811.7277109 1944.71338709 1874.93504417 2279.93612699 59563.521361 1905.39244543 1863.03026271 2233.83718201 60215.8821702 1864.80927393 1908.0161884 2186.25842851 59414.6996476 1823.02269694 1856.91629376 2137.2688308 61113.7778475 1780.09312184 1768.4733777 2086.93920905 56936.0545382 1736.08243362 1606.27723958 2035.34211576 60230.767548 1691.05388717 1688.04546704 1982.55170949 57025.6920065 1645.07199735 1736.79160587 1928.64362592 58966.6418159 1598.20242703 1617.22329147 1873.69484666 59180.2774858 1550.5118734 1570.61716247 1817.78356592 61244.3575704 1502.06795268 1507.31444638 1817.78356592 59266.2818399 1452.93908355 1534.09635758 1873.69484666 60446.6710523 1403.1943694 1417.13441475 1928.64362592 59566.627697 1352.90347969 1386.66885432 1982.55170949 58304.7400909 1302.13653068 1320.15576484 2035.34211576 59739.7175677 1250.96396568 1234.65674543 2086.93920905 58603.9392 1199.45643509 1204.97998263 2137.2688308 59895.8458812 1147.68467642 1128.04636667 2186.25842851 59853.5077121 1095.71939459 1137.68521279 2233.83718201 57996.324847 1043.63114263 1030.75499657 2279.93612699 60861.9544418 991.490203073 984.334405456 2324.48827543 58995.2273133 939.366470287 921.42308952 2367.4287328 63582.4886796 887.329333864 936.275532695 2408.69481164 71022.5840104 835.447563374 876.674636753 2448.22614154 72709.1937193 783.789194659 692.767672852 2485.96477513 76138.8902222 732.421417889 730.320495187 2521.85528988 83428.8139676 681.410467569 682.64720385 2555.84488568 87966.1337284 630.821514719 737.037185642 2587.88347775 90473.3896606 580.718561409 555.835074621 2617.92378501 94308.9671415 531.164337849 465.284730819 2645.92141343 94617.6982321 482.220202213 510.653704849 2671.83493442 98531.6171688 433.946043386 386.074505392 2695.62595807 103777.553565 386.400186803 362.912842888 2717.259201 103540.084186 339.639303543 332.966402018 2736.70254874 109004.979398 293.718322851 417.734257909 2753.92711265 110236.609069 248.69034823 308.399320013 2768.90728101 109490.608667 204.606577258 246.165328132 2781.62076446 115829.060235 161.516225261 15.5842753149 2792.04863543 117893.994434 119.466452978 122.793668897 2800.17536174 116375.015246 78.5022983375 92.0322763047 2805.98883417 118832.098048 38.6666124611 65.6720543876 2809.48038787 116563.098823 5.81730557882e-12 84.0646256098 2810.64481779 116181.688749 2311.46792376 7268.18789218 2889.20597532 110441.282806 2310.51029924 2331.17016989 2888.00899808 115557.647159 2307.63885339 2292.30758447 2884.41985094 116603.740155 2302.85786685 2122.90528179 2878.44388444 113167.862852 2296.17446556 2396.75169833 2870.09000561 115002.552597 2287.59860813 2288.89207366 2859.37066216 114535.320793 2277.14306817 2316.21141869 2846.30182042 113065.57142 2264.82341168 2364.20340595 2830.90293697 103071.18999 2250.65796939 2209.04758199 2813.19692422 108318.711937 2234.6678043 2285.4369505 2793.21010977 106555.849751 2216.87667439 2123.21729631 2770.97218973 98365.9500738 2197.31099049 2188.97889728 2746.51617619 97934.105968 2175.99976959 2158.78729851 2719.87833878 95882.3635341 2152.97458349 2117.92727345 2691.09814044 95198.0652319 2128.26950293 2060.29906512 2660.21816775 84340.9270167 2101.92103746 2092.74744553 2627.28405559 86612.8840941 2073.96807097 2057.23331106 2592.34440663 82852.617863 2044.45179303 2089.01173601 2555.45070557 75110.7026627 2013.41562636 2055.24949916 2516.65722837 76659.8570545 1980.9051503 2009.70132895 2476.02094667 69393.9489943 1946.96802065 1966.84259329 2433.60142756 65033.6913276 1911.6538859 1966.14609572 2389.46072888 59332.9943987 1875.01430006 1941.00390212 2343.66329027 56672.5609113 1837.10263226 1759.31226174 2296.27582016 57337.0941289 1797.97397329 1795.57197717 2247.36717897 56679.2170378 1757.68503924 1740.89841702 2197.00825865 56998.5254991 1716.29407246 1692.9260786 2145.27185888 58647.9490086 1673.86073996 1649.70462855 2092.23256011 58652.4266474 1630.44602956 1612.42013784 2037.96659371 58876.3685969 1586.1121439 1603.23761629 1982.55170949 60578.6879283 1540.92239245 1515.35324646 1926.06704079 59868.9770163 1494.94108198 1502.34251892 1868.59296744 58709.9834676 1448.23340531 1456.14040514 1868.59296744 61327.2408436 1400.86532898 1435.34620955 1926.06704079 58794.0929076 1352.90347969 1352.55223416 1982.55170949 58983.2898282 1304.41502992 1328.34543021 2037.96659371 59487.4702137 1255.46758297 1261.08349523 2092.23256011 58703.1270704 1206.12905741 1236.84729361 2145.27185888 59370.4154616 1156.46757153 1181.18058337 2197.00825865 57054.1267471 1106.55132758 1126.73889856 2247.36717897 57814.7650238 1056.4484964 1154.11033665 2296.27582016 55101.7429695 1006.22710236 981.672384582 2343.66329027 59811.0764512 955.954909074 873.605767063 2389.46072888 56846.1851436 905.699305861 915.998622028 2433.60142756 61210.9469707 855.527195371 855.945878673 2476.02094667 66661.1718707 805.504882455 722.433795501 2516.65722837 71964.7451699 755.69796453 722.547386971 2555.45070557 77732.7917099 706.171223651 770.230022494 2592.34440663 79601.4910331 656.98852046 660.323206698 2627.28405559 86109.4199081 608.212690228 461.038322462 2660.21816775 89336.8462703 559.905441173 639.936466789 2691.09814044 94143.8244172 512.127255235 461.454555788 2719.87833878 99109.9221431 464.937291495 451.069180111 2746.51617619 101165.776529 418.393292403 362.681259594 2770.97218973 103064.769885 372.551492992 290.882491094 2793.21010977 102627.745406 327.466533235 283.932932827 2813.19692422 108422.989733 283.191373696 218.837817828 2830.90293697 111082.115739 239.777214634 249.394163181 2846.30182042 109656.336579 197.273418691 88.7058792173 2859.37066216 113862.409858 155.727437301 266.81585645 2870.09000561 114073.586198 115.184740949 277.513437501 2878.44388444 113456.797624 75.6887533904 116.99111529 2884.41985094 117857.871091 37.2807899512 74.1954084987 2888.00899808 114822.836067 4.92861824732e-12 28.917960646 2889.20597532 115542.244878 2224.73137826 4277.12622408 2966.13832292 108242.818432 2223.80968806 2172.92803587 2964.90947316 114662.112408 2221.04599162 2277.96957197 2961.22475599 117410.120368 2216.44440894 2311.0437014 2955.0896644 115356.14591 2210.01179855 2255.46596772 2946.51334262 113165.428184 2201.75774539 2099.65100716 2935.5085698 112538.935117 2191.69454375 2246.25476915 2922.0917374 110651.757011 2179.8371755 2090.70353669 2906.2828201 106962.757898 2166.20328353 2170.65158675 2888.10534041 107145.040268 2150.81314048 2178.16901567 2867.58632694 100268.385211 2133.6896128 2103.0362799 2844.75626657 99366.7358467 2114.85812028 2203.22271448 2819.6490504 97032.9074518 2094.34659107 2209.39228 2792.30191382 94385.4840601 2072.18541224 2019.25991306 2762.7553706 89446.4317161 2048.40737606 2016.85716664 2731.05314127 89686.0326371 2023.04762208 2051.46181607 2697.24207586 84232.504037 1996.14357507 2011.50736099 2661.37207122 82909.4190856 1967.73487901 1934.17219362 2623.49598294 76105.4901861 1937.86332719 1989.87707798 2583.66953221 67167.4841413 1906.57278863 1948.30458566 2541.95120771 67747.6903168 1873.90913086 1832.43205295 2498.40216262 60593.2150391 1839.92013933 1871.61172428 2453.08610725 59168.3646683 1804.65543353 1758.12806665 2406.0691971 55493.1570691 1768.16637993 1710.62388894 2357.41991687 56479.5234002 1730.50600208 1752.57860602 2307.20896058 54752.131807 1691.72888782 1575.21546157 2255.50910784 59004.6765405 1651.891094 1581.41930737 2202.39509681 58892.4718799 1611.05004865 1698.31732555 2147.94349382 57364.485966 1569.26445106 1516.88591239 2092.23256011 57356.6938111 1526.59416975 1542.88534009 2035.34211576 56768.745673 1483.10013854 1378.10996453 1977.35340124 59985.1700725 1438.84425111 1486.18295372 1918.3489367 60272.9251224 1393.88925398 1403.84614255 1918.3489367 57630.6705186 1348.29863831 1365.02472573 1977.35340124 58818.6839135 1302.13653068 1354.04281754 2035.34211576 58892.6786149 1255.46758297 1215.01186225 2092.23256011 56815.2372408 1208.35686167 1307.07183463 2147.94349382 54310.109719 1160.86973679 1147.28107106 2202.39509681 57611.2425529 1113.07177049 1096.6754756 2255.50910784 55632.9755746 1065.02860577 971.850540654 2307.20896058 59912.9277102 1016.8058554 935.218117268 2357.41991687 55296.8933092 968.468991186 932.585524073 2406.0691971 57101.7010051 920.08323393 968.286976051 2453.08610725 56019.5903312 871.713444217 858.553655904 2498.40216262 64809.0254618 823.424014209 805.117137174 2541.95120771 66966.025729 775.278760704 681.428471777 2583.66953221 70769.0359127 727.340819613 792.552823889 2623.49598294 78118.4815373 679.672542081 685.946392108 2661.37207122 83229.9725288 632.335392414 619.543982412 2697.24207586 85134.1080096 585.389848026 577.079928604 2731.05314127 88868.6769939 538.895301566 476.632898639 2762.7553706 93969.6619903 492.909965426 424.551775408 2792.30191382 94807.0986353 447.490778773 395.686647164 2819.6490504 98611.3299428 402.693317305 257.476823785 2844.75626657 96417.8689975 358.571705866 382.739066186 2867.58632694 104671.394022 315.178534095 358.037396148 2888.10534041 109973.707396 272.56477524 206.42398575 2906.2828201 106786.592364 230.779708299 326.414686441 2922.0917374 106752.037286 189.870843609 180.470627818 2935.5085698 111687.389947 149.883852014 235.261523615 2946.51334262 115084.262884 110.862497745 36.1548156986 2955.0896644 114831.153707 72.8485751059 140.044520052 2961.22475599 115105.3655 35.8818490874 155.733823891 2964.90947316 118094.659744 5.05959218006e-12 130.568466169 2966.13832292 111998.32679 2137.30182815 7492.58207897 3041.33163542 115365.97403 2136.41635939 2035.98810208 3040.07163362 115158.587657 2133.76127325 2214.89662514 3036.29350674 115362.478521 2129.34052781 2136.16500131 3030.00288706 111637.397564 2123.1607121 2134.99024203 3021.20915058 111039.771537 2115.23103434 2077.31151951 3009.92540044 110493.427854 2105.5633057 2176.49220473 2996.16844362 109634.755088 2094.17191927 1966.29938234 2979.95876118 107009.455749 2081.07382459 2055.95294795 2961.32047192 104715.199486 2066.28849761 2141.37221123 2940.28128966 102398.453064 2049.83790614 1996.37534279 2916.87247412 98160.0485456 2031.74647103 2037.49462972 2891.12877559 96710.9533333 2012.04102285 2102.05427007 2863.08837337 98033.3846055 1990.75075451 2017.74419939 2832.79280829 90945.981181 1967.90716957 1965.97213355 2800.2869092 88133.674676 1943.54402665 1880.86232399 2765.61871384 83310.1811394 1917.69727975 1870.92244017 2728.83938395 81562.5619842 1890.40501488 1925.38067511 2690.00311504 74352.4823596 1861.70738292 1916.59810956 2649.16704089 71278.7578865 1831.64652887 1835.07064342 2606.39113286 65204.953189 1800.26651771 1819.72149063 2561.73809444 60938.6861478 1767.61325699 1725.09657851 2515.273251 56970.7861431 1733.73441619 1740.83662664 2467.06443513 57807.9339558 1698.67934315 1702.41442091 2417.18186767 59448.6600483 1662.49897764 1761.57590815 2365.69803475 57171.1586332 1625.24576226 1644.7338348 2312.68756101 59443.6695385 1586.97355088 1610.44806054 2258.22707925 57899.7988448 1547.73751468 1561.82160307 2202.39509681 59851.2254736 1507.59404613 1460.54642703 2145.27185888 58993.6669868 1466.60066097 1510.06310733 2086.93920905 57979.3680663 1424.81589841 1404.75919283 2027.48044726 58622.4401894 1382.29921975 1422.2113181 1966.98018561 60334.0162985 1339.11090565 1392.55171028 1966.98018561 58074.3539809 1295.31195214 1313.73349752 2027.48044726 60185.4892531 1250.96396568 1219.92664561 2086.93920905 57283.2512267 1206.12905741 1213.47402426 2145.27185888 57592.2294649 1160.86973679 1185.52618853 2202.39509681 57831.1016224 1115.24880484 1117.72079356 2258.22707925 58044.3468668 1069.3292472 1089.4617798 2312.68756101 58531.7074004 1023.17412718 1058.7025495 2365.69803475 58278.211867 976.846479025 1022.59142632 2417.18186767 57126.2664179 930.409201578 1011.78316443 2467.06443513 56963.1530488 883.924952536 899.350927788 2515.273251 58311.4611814 837.456043528 827.999377257 2561.73809444 60962.7201401 791.064336177 809.616233092 2606.39113286 68358.941111 744.811139346 795.893422786 2649.16704089 74153.2019542 698.757107776 752.928538253 2690.00311504 75594.0881567 652.962142275 603.626956879 2728.83938395 79990.8707023 607.485291672 561.304559605 2765.61871384 85499.4574274 562.38465668 619.139391524 2800.2869092 87078.9135722 517.717295884 511.513207694 2832.79280829 92028.2034187 473.539133989 495.839133451 2863.08837337 95890.2300453 429.904872516 400.653795586 2891.12877559 97322.4459696 386.867903096 436.806589428 2916.87247412 98225.3394887 344.480223528 196.422827316 2940.28128966 100294.855276 302.792356731 371.227403403 2961.32047192 104161.261669 261.853272761 225.723805766 2979.95876118 108619.602343 221.710314004 183.676798524 2996.16844362 110086.805611 182.409123692 196.032145373 3009.92540044 111702.419024 143.993577854 243.085855119 3021.20915058 113808.74538 106.505720834 105.704377513 3030.00288706 112180.412265 69.9857044647 17.4134600136 3036.29350674 109990.061356 34.471731015 135.329069687 3040.07163362 113854.980113 4.67748507303e-12 156.311125519 3041.33163542 114475.296139 2049.29998133 4510.17141849 3114.67784032 113425.602369 2048.4509711 2038.33171366 3113.38745171 109913.841215 2045.90520619 1860.17667914 3109.51820972 112087.673754 2041.66648173 2120.93247656 3103.07588246 110491.706082 2035.74111543 2146.68713136 3094.07007204 110696.967033 2028.13793639 2085.67075023 3082.5141976 106814.893048 2018.86826943 2097.43794292 3068.42547144 108147.724364 2007.94591505 2017.66288715 3051.82486856 106320.606442 1995.38712488 1825.49167131 3032.73708942 105098.055361 1981.21057297 1988.43741559 3011.1905162 102041.460968 1965.43732263 1903.60524429 2987.2171625 99976.281886 1948.09078919 1991.94970121 2960.85261665 96034.9772817 1929.1966985 1914.75407886 2932.13597871 93231.7502422 1908.78304145 1891.96416298 2901.10979133 88808.3625912 1886.8800245 1899.57752582 2867.81996447 88584.6360533 1863.52001624 1794.03459509 2832.31569437 81274.0924308 1838.73749033 1878.06556412 2794.6493766 76591.3437484 1812.5689646 1755.04521444 2754.87651371 72867.7862644 1785.05293675 1749.21883142 2713.0556173 70721.2460745 1756.22981647 1765.08288733 2669.24810507 66526.5646693 1726.14185443 1701.41445014 2623.51819266 62015.5656049 1694.83306795 1638.72282106 2575.93278089 54547.0433428 1662.34916375 1651.04545355 2526.56133821 54622.6232505 1628.73745783 1666.14332268 2475.47577896 54879.231693 1594.04679252 1646.40371455 2422.75033736 58388.1976061 1558.32745117 1555.60353567 2368.46143774 58007.5252074 1521.63107023 1498.09967567 2312.68756101 55934.1864034 1484.01054926 1486.6030337 2255.50910784 56686.4537103 1445.51995881 1406.96736913 2197.00825865 57246.6042251 1406.21444644 1374.1207707 2137.2688308 58988.7102393 1366.15014105 1401.5942087 2076.37613315 57579.8878759 1325.38405569 1387.90999157 2014.41681831 61799.6637826 1283.97398898 1262.4365569 2014.41681831 58661.8522304 1241.97842549 1236.43062628 2076.37613315 59617.6574807 1199.45643509 1172.09004004 2137.2688308 58473.7251556 1156.46757153 1226.29529584 2197.00825865 58070.4500681 1113.07177049 1083.86358235 2255.50910784 57300.1128035 1069.3292472 1029.80953226 2312.68756101 57591.413991 1025.30039391 1069.94275914 2368.46143774 55829.9310917 981.045677358 1059.14780991 2422.75033736 57472.0992665 936.625536392 926.153726344 2475.47577896 55480.6748553 892.100280037 895.904832911 2526.56133821 56469.4457689 847.529986109 931.509509248 2575.93278089 57642.8945236 802.974400601 879.153272976 2623.51819266 60499.8757697 758.492838026 703.604456304 2669.24810507 66382.0394945 714.144082903 735.64354622 2713.0556173 68941.8858499 669.986292555 723.311134622 2754.87651371 75873.7901468 626.076901421 712.757455126 2794.6493766 78180.3674874 582.472527034 607.170885357 2832.31569437 81846.2820754 539.228877855 566.198820264 2867.81996447 86224.2069247 496.400663122 512.293163384 2901.10979133 89135.7078037 454.041504882 449.425583156 2932.13597871 93892.078891 412.203852359 486.215843407 2960.85261665 96598.5109724 370.938898825 355.995313736 2987.2171625 99615.443035 330.296501104 308.273018304 3011.1905162 100938.505299 290.325101874 217.255832846 3032.73708942 104730.785814 251.071654883 268.643746442 3051.82486856 106776.860784 212.581553229 272.424322795 3068.42547144 106854.020986 174.898560817 229.613739015 3082.5141976 109108.037748 138.064747113 164.854056838 3094.07007204 113133.55772 102.120425315 41.0846023742 3103.07588246 114032.295062 67.1040940327 49.7053508074 3109.51820972 112374.547239 33.0523825858 129.219166753 3113.38745171 112013.150679 4.99144970723e-12 28.1453737322 3114.67784032 114774.326546 1960.84669452 7218.76903235 3186.07120562 110014.200927 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2800.17536174 118820.501941 115.184740949 30.4974218874 2878.44388444 116503.896528 110.862497745 53.1574453035 2955.0896644 112841.137899 106.505720834 209.895377633 3030.00288706 112403.71355 102.120425315 217.388244592 3103.07588246 112714.164557 97.7126337022 125.122000645 3174.20331245 108980.803431 93.2883657364 129.061708507 3243.28235406 108239.752156 88.8536282261 154.795411552 3310.2128788 104816.621912 84.4144049513 163.727969902 3374.89762757 101568.689463 79.9766466424 112.848050722 3437.2423807 99564.4609739 75.5462610542 202.479810002 3497.15612302 95676.1117579 71.1291031536 78.2024872702 3554.55120344 91855.4735564 66.730965439 226.903829536 3609.34348883 88510.2571563 62.3575684087 112.062308568 3661.45251187 84954.8285207 58.0145511969 242.865370766 3710.80161266 79731.5245924 53.7074623939 72.1539735351 3757.31807374 76243.1518684 49.4417510668 56.321726722 3800.93324822 69236.64447 45.2227579979 189.340334195 3841.58268091 65107.9718305 41.0557071559 232.785514057 3879.20622217 61156.1758645 36.9456974158 159.26355755 3913.7481341 60067.4234633 32.897694542 168.883334898 3945.15718915 57420.8110616 28.9165234491 139.099086976 3973.38676073 59018.2484465 25.0068607535 143.275006854 3998.39490575 59545.9339579 21.1732276304 323.989365661 4020.14443884 58273.0939716 17.4199829861 87.8037757503 4038.60299833 58973.2872759 13.7513169602 267.144940637 4053.74310352 59000.1510409 10.1712447673 476.44615129 4065.54220341 61115.2251212 6.68360088777 1063.37838557 4073.98271676 59942.9742334 3.29203361997 292.259008368 4079.05206317 59374.6995993 6.00167248511e-13 311.553413101 4080.74268549 59496.0705675 134.123052585 3804.82575336 4089.21475671 59820.4788032 134.06748637 580.344663694 4087.52062447 60749.2915442 133.900870568 669.418096168 4082.44075354 59885.9824125 133.623453562 279.874393647 4073.98271676 60489.1405145 133.235648837 295.319949616 4062.15912063 59304.1148939 132.738034241 524.91507403 4046.98758292 62056.139233 132.131350964 197.662673161 4028.49070143 59379.642362 131.416502223 279.133742237 4006.6960139 58475.4196082 130.59455166 223.30549734 3981.63594923 59626.1411611 129.666721457 138.25409668 3953.34776994 59712.0553066 128.634390171 140.156844263 3921.87350623 60086.2371406 127.499090294 101.826990252 3887.25988149 61867.3910856 126.262505537 430.261140268 3849.55822963 65560.6769753 124.926467855 68.7849825593 3808.82440423 69621.4363088 123.492954205 164.085186681 3765.11867985 74555.731308 121.964083057 189.589725027 3718.50564547 80311.6956992 120.342110649 324.25496502 3669.05409051 86966.8174525 118.629427009 228.566632909 3616.8368834 86659.56051 116.828551741 181.027828286 3561.9308432 91560.395654 114.942129592 60.8707018193 3504.41660427 97463.2252003 112.972925789 99.4508338855 3444.37847441 100438.266725 110.923821191 52.9102001731 3381.90428671 101238.477817 108.79780722 153.437539183 3317.08524528 105813.700634 106.597980624 74.0544216989 3250.0157654 107165.612631 104.32753805 30.3034892873 3180.79330809 111202.726919 101.98977045 101.030306768 3109.51820972 111392.140895 99.5880573403 166.43723946 3036.29350674 117518.736225 97.1258609031 186.312070363 2961.22475599 113967.327839 94.6067199602 185.280492148 2884.41985094 114224.970165 92.0342438218 116.72558803 2805.98883417 117197.220693 89.412106025 123.101518476 2726.04370643 119399.28198 86.7440379719 178.754064287 2644.69823267 119785.27546 84.033822481 229.066587536 2644.69823267 116258.349476 81.2852872636 115.440184798 2726.04370643 115350.053767 78.5022983375 235.916528748 2805.98883417 117016.871372 75.6887533904 103.313555309 2884.41985094 115551.35841 72.8485751059 232.253616178 2961.22475599 114488.390364 69.9857044647 113.400227971 3036.29350674 111484.390849 67.1040940327 142.847569885 3109.51820972 111316.380823 64.20770125 210.551094133 3180.79330809 112504.76369 61.3004817326 105.935490265 3250.0157654 108025.107728 58.3863825993 8.03792344484 3317.08524528 102384.505388 55.4693358367 45.8421215993 3381.90428671 101349.901515 52.553251714 105.705952594 3444.37847441 98075.5320391 49.6420122612 268.198886882 3504.41660427 98536.24454 46.7394648208 78.1152509109 3561.9308432 93556.4512352 43.8494156866 166.585964147 3616.8368834 86271.8021591 40.9756238407 231.944115212 3669.05409051 86596.6420258 38.1217948004 149.519167677 3718.50564547 81869.9939229 35.2915745859 119.972363847 3765.11867985 76776.3809226 32.4885438198 258.174233153 3808.82440423 72803.8036501 29.7162119699 242.567699882 3849.55822963 65306.0427162 26.9780117452 84.3312807712 3887.25988149 61490.2437219 24.2772936545 306.521005405 3921.87350623 59103.1603168 21.6173207387 425.828007928 3953.34776994 57501.9977201 19.0012634852 129.608722462 3981.63594923 60517.5796604 16.4321949335 202.317362998 4006.6960139 61140.8480411 13.9130859816 18.7225608143 4028.49070143 59626.5616788 11.4468008994 107.114094369 4046.98758292 58849.9642898 9.03609305904 377.29088921 4062.15912063 61507.0481659 6.68360088777 329.445512764 4073.98271676 60009.0938049 4.39184405145 517.024589319 4082.44075354 61283.6294004 2.16321987411 855.026077494 4087.52062447 60412.309987 5.43501043485e-13 552.379999534 4089.21475671 59149.3577486 66.0628313595 21348.8874087 4094.30305668 59794.5263253 66.035462004 569.29273398 4092.6068164 59892.6299451 65.9533947425 364.012273726 4087.52062447 59700.7092694 65.8167519172 921.663320818 4079.05206317 60318.4254085 65.6257371911 574.806160336 4067.21375468 62811.9418253 65.3806351857 466.604330087 4052.02333869 57344.4523998 65.0818109773 426.107681767 4033.50344113 59450.8698254 64.7297094488 190.867810397 4011.68163399 58732.5901279 64.324854501 148.725183578 3986.59038653 58417.0502638 63.8678481248 121.481070692 3958.26700764 60872.2754336 63.3593693338 108.539230819 3926.75357981 60308.2861805 62.8001729624 45.9489690277 3892.09688457 64114.7814972 62.1910883294 47.7236502656 3854.34831971 63897.1697916 61.5330177711 161.921094148 3813.56380831 71424.8437066 60.826935046 71.4808847764 3769.80369994 75670.2469569 60.0738836138 152.315129864 3723.13266394 82052.7820902 59.2749747937 217.116421545 3673.61957531 83140.3080748 58.4313858035 131.767310919 3621.33739318 88207.5424784 57.5443576844 56.9394447234 3566.36303219 92976.3269909 56.6151931153 172.995344319 3508.77722702 95908.2876186 55.6452541213 149.217411235 3448.6643904 99736.0960875 54.6359596791 194.799283992 3386.11246469 102259.992394 53.5887832266 187.703440543 3321.21276751 106930.868602 52.5052500784 220.49642713 3254.05983159 107866.296738 51.3869347549 115.649508865 3184.75123925 111436.17783 50.2354582286 104.724101308 3113.38745171 113939.431879 49.0524850925 56.3212093629 3040.07163362 114343.472712 47.8397206582 58.4633161411 2964.90947316 115457.713615 46.5989079859 247.012644511 2888.00899808 117935.545318 45.3318248557 51.7204266799 2809.48038787 117166.81748 44.0402806824 65.0147495917 2729.43578264 119653.73223 42.7261133827 59.1801580114 2647.98908892 118377.103592 41.3911861985 122.596677589 2647.98908892 121673.679579 40.0373844839 31.6397934235 2729.43578264 120293.192644 38.6666124611 159.30149454 2809.48038787 117549.230457 37.2807899512 99.5664506437 2888.00899808 118220.944646 35.8818490874 120.906941052 2964.90947316 115383.043267 34.471731015 60.1332527967 3040.07163362 115069.468728 33.0523825858 129.804586154 3113.38745171 113314.596402 31.6257530522 108.195841596 3184.75123925 111402.093942 30.1937907683 116.265063005 3254.05983159 105038.69436 28.7584399028 87.4102356129 3321.21276751 104020.421266 27.321637171 66.0205954159 3386.11246469 101476.397783 25.8853085913 31.5460133037 3448.6643904 99120.6428705 24.4513662726 83.5228192486 3508.77722702 96129.4420461 23.0217052384 84.2531250413 3566.36303219 91732.9814123 21.5982002935 25.1398376228 3621.33739318 88749.1106249 20.1827029393 112.222510225 3673.61957531 84711.3648162 18.7770383427 158.547643063 3723.13266394 82009.9407624 17.383002365 162.80292606 3769.80369994 77715.9624484 16.0023586558 30.8119678545 3813.56380831 69680.8309789 14.6368358174 120.620541261 3854.34831971 68547.0240283 13.2881246437 202.861584822 3892.09688457 62719.3198062 11.9578754409 249.21770535 3926.75357981 58522.239419 10.6476954325 149.731301772 3958.26700764 59333.2131539 9.35914625447 120.392703203 3986.59038653 58966.7891163 8.09374154434 121.211171355 4011.68163399 59543.7790747 6.85294462943 422.607474207 4033.50344113 59237.236927 5.63816631706 658.984594902 4052.02333869 58967.6019949 4.45076279135 783.206469382 4067.21375468 60180.3720274 3.29203361997 212.35344005 4079.05206317 61342.8082812 2.16321987411 720.502914555 4087.52062447 57930.7757743 1.06550236505 310.287808805 4092.6068164 59780.7843808 5.31835411403e-13 74.0655107374 4094.30305668 61306.3495635 9.62158076667e-12 0.0 4096.0 4096.0 9.58573517039e-12 2002.87624582 4094.30305668 61826.8102771 9.57310171698e-12 639.295932901 4089.21475671 59712.1845836 9.8589870981e-12 336.40943384 4080.74268549 57619.8125481 9.90082084432e-12 255.525948591 4068.89947044 58073.1883457 9.54334205219e-12 68.9978124131 4053.70275857 59387.1809033 9.7200144242e-12 231.204585287 4035.17518516 56724.7858466 9.24742679738e-12 311.560267654 4013.34433366 53619.6961413 9.28639392883e-12 347.555119615 3988.24268676 54903.2956456 1.00090872076e-11 355.4502177 3959.90756884 56254.5188278 8.90508872776e-12 264.460134102 3928.38107981 56635.5727747 9.09716494562e-12 87.6100403297 3893.7100206 63238.0909487 9.15400832464e-12 176.712948204 3855.9458103 66542.6643996 9.07904290013e-12 106.379607177 3815.14439517 68974.3196102 8.76702462708e-12 107.917422249 3771.36614979 74404.402483 9.17042786289e-12 78.0692607892 3724.6757703 80224.3330907 8.7105486058e-12 177.775748903 3675.14216026 85948.0106611 9.01707759702e-12 71.433673406 3622.83830902 89965.5058261 8.45494881984e-12 150.488026626 3567.8411631 90927.871092 8.10147997684e-12 138.401505114 3510.23149066 95033.3780723 8.39574457318e-12 435.781099137 3450.0937394 99937.7706895 8.09989913119e-12 225.366891337 3387.51588814 94742.0328492 7.97949835017e-12 104.977893295 3322.58929233 104113.84193 7.72301251924e-12 163.921444685 3255.40852391 109490.986051 7.98004610251e-12 105.550040072 3186.07120562 112141.148851 7.34341512733e-12 263.787900546 3114.67784032 111453.113501 7.1445681962e-12 12.7665595841 3041.33163542 113476.543819 7.26495489801e-12 40.6745151619 2966.13832292 113572.159115 7.57801572381e-12 99.2291632566 2889.20597532 113399.420823 6.7269310307e-12 62.05121297 2810.64481779 119530.20816 6.94416910398e-12 158.15708154 2730.56703691 118904.566248 6.53748023433e-12 164.585702311 2649.08658642 121458.625784 6.27337264424e-12 142.247436598 2649.08658642 119520.755531 5.49553521025e-12 38.5659075799 2730.56703691 118616.903714 5.82102761651e-12 94.1505197716 2810.64481779 118141.414608 4.92602603969e-12 156.305754451 2889.20597532 117476.414644 5.10515152258e-12 85.5439223927 2966.13832292 111096.183957 4.64084225448e-12 53.1105086416 3041.33163542 116589.279803 4.99691305244e-12 64.0817921352 3114.67784032 112020.776609 4.88860060885e-12 72.4885470331 3186.07120562 112563.438877 4.29167166644e-12 107.533114743 3255.40852391 108887.281732 4.11864656578e-12 61.9931962099 3322.58929233 105532.407353 3.94081651361e-12 276.538814201 3387.51588814 96021.7781222 3.2101080784e-12 120.00124645 3450.0937394 99436.1463157 3.22677998271e-12 223.400766135 3510.23149066 97880.6611635 3.41828380464e-12 114.393590425 3567.8411631 93860.507895 3.17254190245e-12 89.2488935081 3622.83830902 89016.1508597 2.57657260938e-12 187.800285506 3675.14216026 82382.083678 2.66368078091e-12 124.549171045 3724.6757703 84430.8912766 2.44232161501e-12 177.248770272 3771.36614979 75091.885894 2.01403462396e-12 97.9737462166 3815.14439517 72800.9790181 1.71619920493e-12 116.082078734 3855.9458103 65317.6900392 1.37082206643e-12 202.719180942 3893.7100206 61189.9612658 1.81558976042e-12 144.601192628 3928.38107981 58638.1628803 1.62492044514e-12 127.940532755 3959.90756884 51871.2352761 1.88679494591e-12 63.9950746228 3988.24268676 55878.3076333 1.95496491372e-12 174.591131407 4013.34433366 55855.0386121 1.10385131756e-12 182.783514661 4035.17518516 56829.1288849 7.87393409145e-13 261.0782727 4053.70275857 58632.0102056 6.37304547566e-13 564.487370483 4068.89947044 58118.7023817 6.00340729408e-13 376.073455854 4080.74268549 58492.561238 5.43382973309e-13 815.853165929 4089.21475671 59415.8739165 5.31477374083e-13 152.766792897 4094.30305668 61322.6727233 1.30550995298e-12 402.783274597 4096.0 43437.2945589
отношение на i,j позиции функция зашумлена.
In [363]:
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,64)
ax.set_ylim(0,64)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/mpl_toolkits/mplot3d/proj3d.py:141: RuntimeWarning: invalid value encountered in true_divide txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w
cечения предыдущего трехмерного графика. сечение по диагонали
In [395]:
y = [z[i,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.plot(range(64),y)
Out[395]:
[<matplotlib.lines.Line2D at 0x7f3828f03f28>]
In [396]:
y = [z[0,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.plot(range(64),y)
Out[396]:
[<matplotlib.lines.Line2D at 0x7f3828e36e80>]
In [397]:
y = [z[2,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.plot(range(64),y)
Out[397]:
[<matplotlib.lines.Line2D at 0x7f3828db3da0>]
In [405]:
y = [z[3,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,2.2,0.2))
plt.ylim(0,2)
plt.plot(range(64),y)
Out[405]:
[<matplotlib.lines.Line2D at 0x7f3828677cf8>]
In [406]:
y = [z[5,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,2.2,0.2))
plt.ylim(0,2)
plt.plot(range(64),y)
Out[406]:
[<matplotlib.lines.Line2D at 0x7f38286535c0>]
In [407]:
y = [z[50,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,2.2,0.2))
plt.ylim(0,2)
plt.plot(range(64),y)
Out[407]:
[<matplotlib.lines.Line2D at 0x7f38289ba2e8>]
In [438]:
y = [z[20,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,1.5,0.1))
plt.ylim(0,1.5)
plt.plot(range(64),y)
Out[438]:
[<matplotlib.lines.Line2D at 0x7f3828109b70>]
3d график при i, j $\in$ [0..20]
In [419]:
x,y = np.meshgrid(range(0,20),range(0,20))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z[0:20,0:20])
ax.set_zlim(0, 2)
ax.set_xlim(0,20)
ax.set_ylim(0,20)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
уберем единицу.
In [435]:
x,y = np.meshgrid(range(1,51),range(1,51))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z[1:51,1:51])
ax.set_zlim(0, 2)
ax.set_xlim(1,51)
ax.set_ylim(1,51)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
теперь на 128х128
In [440]:
z = np.zeros(128*128).reshape(128,128)
for i in range (128):
for j in range(128):
z[i,j] = compare(i,j,7, True)
16384.0 16384.0 16384.0 340527.531223 16382.3292126 36776.5857925 16382.3292126 483574.407887 16377.3174636 167389.510123 16377.3174636 471625.332392 16368.9665928 37077.9840182 16368.9665928 469114.241223 16357.2796653 82574.4147016 16357.2796653 475867.610372 16342.2609707 36777.4944325 16342.2609707 473394.019499 16323.9160208 55153.5609364 16323.9160208 467833.87966 16302.2515473 37039.6118558 16302.2515473 463076.142444 16277.2754989 42188.5768786 16277.2754989 460659.267391 16248.997038 36656.9462501 16248.997038 466059.440468 16217.4265363 33131.3211844 16217.4265363 462227.869477 16182.5755706 36952.4661763 16182.5755706 455251.950213 16144.4569176 27942.6360024 16144.4569176 447534.627003 16103.0845485 37014.1946705 16103.0845485 452063.555614 16058.4736226 23882.7533041 16058.4736226 443891.685384 16010.6404809 36625.3645185 16010.6404809 443169.576536 15959.6026388 20965.4222587 15959.6026388 439541.799339 15905.3787787 35760.8132732 15905.3787787 439176.651203 15847.9887418 19012.8977307 15847.9887418 448226.323292 15787.4535192 36393.4689776 15787.4535192 428676.704276 15723.7952428 17611.6480098 15723.7952428 463177.681699 15657.0371761 35923.0303386 15657.0371761 467250.816912 15587.2037034 17100.7992006 15587.2037034 496466.774024 15514.3203198 36718.6756469 15514.3203198 519835.513633 15438.4136193 16374.8878208 15438.4136193 535963.450665 15359.5112843 35389.7387682 15359.5112843 539577.429718 15277.6420725 16246.4855243 15277.6420725 576374.09859 15192.8358051 35288.19606 15192.8358051 582000.277937 15105.1233533 16491.900649 15105.1233533 607624.623083 15014.5366255 35430.0451964 15014.5366255 617406.501599 14921.1085526 16240.6187911 14921.1085526 630590.884503 14824.8730747 35559.7495672 14824.8730747 660752.193044 14725.8651252 16377.6404894 14725.8651252 665027.35946 14624.1206167 35341.4639302 14624.1206167 686650.469968 14519.6764248 16547.2468905 14519.6764248 701115.084295 14412.5703722 34981.5096347 14412.5703722 722381.264974 14302.8412123 16596.843893 14302.8412123 740981.793092 14190.5286127 34681.5332756 14190.5286127 748107.290905 14075.6731374 16451.45836 14075.6731374 760232.820176 13958.3162298 34639.4801445 13958.3162298 777700.810013 13838.5001946 17024.3874638 13838.5001946 797021.127762 13716.2681793 34608.0159216 13716.2681793 805650.796553 13591.664156 16629.8775474 13591.664156 814201.208756 13464.7329016 34027.4623611 13464.7329016 825648.682071 13335.5199796 16726.4775517 13335.5199796 839341.832621 13204.0717193 33931.0872016 13204.0717193 857304.042897 13070.4351966 16938.6003373 13070.4351966 857093.996931 12934.6582133 33177.0866363 12934.6582133 855983.711722 12796.7892768 16531.2171517 12796.7892768 873375.403761 12656.877579 33337.9470651 12656.877579 882922.34606 12514.9729752 16937.9821191 12514.9729752 901834.443376 12371.1259628 32792.3879966 12371.1259628 900049.571036 12225.3876595 16579.737429 12225.3876595 907115.234568 12077.8097812 32756.3408684 12077.8097812 913657.318121 11928.4446202 16958.063295 11928.4446202 926496.831372 11777.3450227 32466.5875136 11777.3450227 917981.749912 11624.5643658 16983.5574354 11624.5643658 933833.38855 11470.1565353 32208.9696237 11470.1565353 926649.629458 11314.1759021 16866.378284 11314.1759021 926206.120381 11156.6772993 31996.8238332 11156.6772993 944035.253834 10997.7159989 17441.4885844 10997.7159989 944295.222178 10837.347688 31974.3885451 10837.347688 940842.891936 10675.6284451 17196.7084382 10675.6284451 949604.637578 10512.6147167 31630.1363913 10512.6147167 947109.425085 10348.3632926 17613.8459173 10512.6147167 947598.910588 10182.9312826 31111.7540902 10675.6284451 946360.217429 10016.3760917 17550.6129351 10837.347688 944974.081555 9848.75539594 31129.4510523 10997.7159989 952824.384987 9680.12711838 17912.8776124 11156.6772993 947009.419465 9510.54940415 30693.7932876 11314.1759021 944898.577214 9340.08059622 17828.9896401 11470.1565353 932263.545206 9168.77921074 30182.1228542 11624.5643658 932179.838156 8996.70391246 17708.4927161 11777.3450227 919016.352406 8823.91349008 30015.5619406 11928.4446202 910277.027146 8650.4668316 17967.0245804 12077.8097812 912292.716028 8476.42289965 29677.6635796 12225.3876595 908846.595068 8301.84070684 18205.7667366 12371.1259628 907150.031097 8126.77929112 29472.0952853 12514.9729752 900351.665251 7951.29769118 18286.3397791 12656.877579 889139.979665 7775.45492189 29004.1116065 12796.7892768 873475.240938 7599.30994973 18724.3413301 12934.6582133 876201.990071 7422.92166839 28974.9548496 13070.4351966 864977.73349 7246.34887437 18328.8608038 13204.0717193 846353.357145 7069.65024268 28552.7921098 13335.5199796 844161.762848 6892.88430262 18662.713958 13464.7329016 823490.415436 6716.10941373 27957.436224 13591.664156 812484.842579 6539.38374177 19157.4233956 13716.2681793 802505.330798 6362.76523489 27705.2152738 13838.5001946 792461.58972 6186.31159995 19464.1225126 13958.3162298 787793.421321 6010.0802789 27522.6824768 14075.6731374 769535.116053 5834.12842545 19121.0206484 14190.5286127 751950.815129 5658.51288182 27015.8670604 14302.8412123 730974.418221 5483.29015569 19383.103982 14412.5703722 725090.482285 5308.51639736 26873.304508 14519.6764248 703007.061997 5134.24737714 19631.7318856 14624.1206167 691429.97749 4960.53846285 26724.9152372 14725.8651252 674794.906647 4787.4445977 19686.3607607 14824.8730747 665165.924436 4615.02027823 26209.4230802 14921.1085526 639773.836681 4443.31953267 19610.6016626 15014.5366255 614596.221031 4272.39589939 25831.2945747 15105.1233533 607370.805321 4102.30240573 20077.4583563 15192.8358051 587706.631028 3933.09154704 25142.7373982 15277.6420725 563860.156618 3764.81526604 19934.3819346 15359.5112843 550184.883787 3597.52493244 25078.6729324 15438.4136193 530860.765854 3431.27132288 19979.8654578 15514.3203198 496893.429901 3266.10460116 25074.9936689 15587.2037034 493287.724649 3102.07429882 20403.7018262 15657.0371761 470611.14978 2939.22929599 24330.8479382 15723.7952428 451046.506466 2777.61780267 21563.5456477 15787.4535192 449034.205816 2617.2873402 23931.1833317 15847.9887418 425660.472877 2458.28472326 23333.5412245 15905.3787787 433679.908079 2300.65604212 23817.3072819 15959.6026388 443479.617396 2144.44664521 25558.9998147 16010.6404809 437145.991424 1989.70112224 23208.7873739 16058.4736226 450065.676158 1836.46328749 27342.7784031 16103.0845485 452695.049624 1684.77616366 22995.6266062 16144.4569176 457002.882318 1534.68196601 31354.9492563 16182.5755706 457416.998969 1386.22208693 22555.4334568 16217.4265363 457525.928006 1239.43708094 35820.7882838 16248.997038 462359.267365 1094.36665009 21459.4476832 16277.2754989 473072.939665 951.049629752 44987.1115046 16302.2515473 464797.225751 809.523974888 20832.7012613 16323.9160208 461922.930962 669.826746714 57026.3026855 16342.2609707 468732.264848 531.994099812 18754.7939771 16357.2796653 475336.209293 396.061269684 85264.448487 16368.9665928 470798.048991 262.062560758 15231.7150844 16377.3174636 466728.322479 130.031334834 167220.888174 16382.3292126 472943.776771 3.3046701565e-11 0.0 16384.0 16384.0
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in double_scalars app.launch_new_instance()
16382.3292126 35477.9440573 16382.3292126 476569.813475 16380.6585955 16894.6192872 16380.6585955 473448.817989 16375.6473576 20769.2439108 16375.6473576 469435.429325 16367.2973384 18850.3409902 16367.2973384 468446.585779 16355.6116028 15511.8931908 16355.6116028 476872.794697 16340.5944397 16311.8420585 16340.5944397 472231.29791 16322.2513606 16507.9662158 16322.2513606 470773.857977 16300.5890963 17566.5452535 16300.5890963 471996.083604 16275.6155949 17117.627025 16275.6155949 476277.634601 16247.3400177 16523.9870212 16247.3400177 474427.405579 16215.7727355 15917.1609474 16215.7727355 474095.646987 16180.9253238 16046.5870396 16180.9253238 476524.638756 16142.810558 16988.4228444 16142.810558 478845.560896 16101.4424079 15783.9060655 16101.4424079 466923.207919 16056.8360313 15848.1807787 16056.8360313 480190.830335 16009.0077674 16108.8942097 16009.0077674 467707.453816 15957.97513 15849.2708768 15957.97513 474249.98989 15903.7567996 15554.6008407 15903.7567996 473579.113787 15846.3726151 15979.5956132 15846.3726151 467358.820899 15785.8435656 15851.7714991 15785.8435656 476294.479094 15722.1917809 15682.184404 15722.1917809 481288.26977 15655.440522 15859.3533206 15655.440522 468918.81746 15585.6141707 15679.3092673 15585.6141707 488782.972343 15512.7382194 15273.9800416 15512.7382194 508609.412632 15436.8392598 15508.2689126 15436.8392598 530417.870413 15357.9449709 15656.1562878 15357.9449709 552386.45375 15276.0841079 15383.6462622 15276.0841079 570479.351008 15191.2864887 15297.0104609 15191.2864887 593330.873572 15103.5829816 15343.4297006 15103.5829816 601212.340373 15013.0054915 14963.3274214 15013.0054915 619997.782713 14919.5869462 15280.4279412 14919.5869462 641761.97371 14823.361282 14651.4916523 14823.361282 650754.49808 14724.363429 15102.5651753 14724.363429 681309.186151 14622.6292961 14291.0711645 14622.6292961 685701.548887 14518.1957551 14811.5912115 14518.1957551 711530.464866 14411.1006248 14820.1229827 14411.1006248 725113.485977 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926770.250539 11927.2281959 12421.6604203 11927.2281959 933145.71514 11776.1440071 11957.3062016 11776.1440071 918863.92234 11623.3789303 11752.6613804 11623.3789303 934117.280353 11468.9868458 11243.5236987 11468.9868458 919078.727966 11313.022119 11606.1296218 11313.022119 941468.19624 11155.5395774 11093.2812117 11155.5395774 943659.243993 10996.5944874 10917.9452127 10996.5944874 935263.620354 10836.2425303 11053.1243481 10836.2425303 956725.396084 10674.539779 10935.9280597 10674.539779 949552.311546 10511.5426742 10878.0910604 10511.5426742 955320.217818 10347.3079999 10354.7916092 10511.5426742 947865.123343 10181.8928601 10031.4842295 10674.539779 939818.797139 10015.354654 9661.82694539 10836.2425303 931412.637449 9847.75105166 9571.06768406 10996.5944874 940551.45834 9679.13997026 9553.81615134 11155.5395774 939053.146886 9509.57954902 9465.47236893 11313.022119 939432.301716 9339.12812495 9363.06848015 11468.9868458 939091.67705 9167.84420823 9334.7044292 11623.3789303 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12290.7166935 453985.505998 2014.92253721 2158.22577974 12387.9930094 473722.627376 1952.52801284 1856.69057998 12483.0317535 491683.163744 1890.29336004 1933.07657435 12575.7985689 502148.912184 1828.23843788 1807.97030768 12666.2598906 514700.394908 1766.38296214 1754.92826032 12754.3829593 531873.822822 1704.74649736 1564.35116647 12840.1358365 538007.939939 1643.34844905 1496.72017437 12923.4874175 548078.849795 1582.20805597 1491.67073368 13004.4074457 564732.998937 1521.34438241 1494.11529383 13082.8665249 574057.976617 1460.77631073 1350.73219614 13158.8361328 585746.94903 1400.52253384 1414.76645789 13232.2886331 599796.641916 1340.60154786 1563.55441438 13303.1972874 617450.099067 1281.03164487 1159.42914592 13371.5362671 621208.2754 1221.83090578 1068.83582767 13437.2806643 634026.649964 1163.01719325 1188.04022197 13500.406503 639010.974866 1104.60814481 958.62129337 13560.8907493 650085.190969 1046.62116606 1024.17926446 13618.7113216 656727.316136 989.073423924 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15438.4136193 522080.673253 3597.15806846 3616.39971995 15436.8392598 537829.772151 3596.05761119 3688.63902431 15432.1167589 532081.430086 3594.22396459 3490.10376073 15424.2478504 537502.775865 3591.65780169 3470.58244819 15413.2354224 526544.534491 3588.36006437 3614.38114819 15399.0835169 530735.216881 3584.33196289 3474.80018968 15381.7973277 514740.585147 3579.57497536 3693.58778204 15361.3831978 524301.980391 3574.09084714 3465.10098792 15337.8486174 507302.33891 3567.88159004 3351.66566833 15311.2022199 508691.852785 3560.94948146 3983.33912811 15281.4537786 520040.707548 3553.29706337 3822.04087011 15248.6142019 517633.601413 3544.92714123 3582.8103191 15212.6955294 508826.006559 3535.84278275 3682.53331232 15173.7109257 499584.004179 3526.04731654 3649.50812817 15131.6746753 495037.058658 3515.5443307 3573.30316022 15086.6021761 491395.037066 3504.33767119 3567.95687938 15038.5099327 486594.954055 3492.43144021 3562.08773811 14987.4155492 486163.314122 3479.82999437 3607.45665653 14933.3377216 474549.453915 3466.5379428 3375.01866485 14876.2962295 480839.421708 3452.56014518 3779.74715007 14816.3119278 471787.548289 3437.90170954 3184.31888311 14753.4067369 470695.680714 3422.56799012 3613.71444086 14687.6036342 458250.755833 3406.56458497 3377.07727155 14618.926643 443774.206568 3389.89733355 3015.84962932 14547.4008229 435347.52453 3372.57231417 3217.2895242 14473.0522582 454959.696015 3354.59584135 3194.98441355 14395.9080471 469047.585939 3335.97446309 3318.38080418 14315.9962896 491024.237611 3316.71495796 3353.48395179 14233.3460754 509816.465977 3296.82433222 3419.30688496 14147.9874711 523788.963551 3276.30981676 3415.11559137 14059.9515072 539282.877037 3255.17886391 2987.4783002 13969.2701648 543712.983028 3233.43914427 3430.67876613 13875.9763614 561063.334398 3211.09854332 3286.37315391 13780.1039368 574352.345599 3188.16515804 3221.17590657 13681.6876383 588025.021894 3164.64729337 3167.25815484 13580.7631057 591816.649494 3140.55345863 2863.26405457 13477.3668559 608838.952814 3115.8923638 2842.80342278 13371.5362671 620580.776607 3090.6729158 3234.28004493 13263.3095621 631861.671243 3064.90421457 3068.02727173 13152.7257925 630263.123672 3038.59554917 2992.64090232 13039.8248215 654693.258555 3011.75639375 3167.23173894 12924.6473063 675507.443835 2984.39640347 2761.43768207 12807.2346811 680550.508495 2956.5254103 2937.65428513 12687.6291388 681785.421472 2928.1534188 2678.01792608 12565.8736129 702092.026394 2899.2906018 2845.54106111 12442.0117591 698034.602265 2869.94729599 2696.7711619 12316.0879364 720356.661709 2840.13399749 2907.13728046 12188.1471876 729554.62626 2809.86135733 2785.73748049 12058.2352206 730830.749123 2779.14017683 2845.81594757 11926.3983883 733350.832699 2747.98140302 2536.22477859 11792.6836686 729840.570036 2716.39612388 2844.12137856 11657.1386445 751130.662947 2684.39556358 2647.46374432 11519.8114834 756029.273035 2651.9910777 2718.61292368 11380.7509166 760448.200922 2619.19414834 2692.05665943 11240.0062184 771602.735942 2586.01637921 2303.85743863 11097.6271849 770442.563276 2552.46949065 2369.6832626 10953.6641128 775571.40943 2518.56531462 2334.63242453 10808.1677777 772020.790271 2484.31578966 2391.32880506 10661.1894128 779468.860272 2449.73295578 2493.60413564 10512.7806863 791202.359784 2414.82894935 2473.88004748 10362.9936804 775061.512591 2379.61599787 2400.55375564 10211.8808682 780294.170235 2344.10641485 2161.58204684 10059.4950917 778164.239925 2308.31259451 2368.6779547 9905.8895396 779457.831397 2272.24700654 2149.16948675 9905.8895396 786782.279948 2235.92219082 2538.04077141 10059.4950917 781499.132784 2199.3507521 2267.5323869 10211.8808682 791928.861895 2162.54535464 2398.98632443 10362.9936804 784513.245765 2125.51871689 2071.20577251 10512.7806863 771939.225802 2088.28360612 1778.08963755 10661.1894128 784876.38942 2050.852833 1805.00755444 10808.1677777 770021.978128 2013.23924626 1975.57774762 10953.6641128 772584.83121 1975.45572722 2153.68549468 11097.6271849 767989.537567 1937.51518446 1755.38888319 11240.0062184 770545.166367 1899.43054834 1638.88897175 11380.7509166 755662.524521 1861.21476559 1880.45729349 11519.8114834 753683.595462 1822.88079394 2245.7734189 11657.1386445 745336.340202 1784.44159669 1967.33854271 11792.6836686 739359.304388 1745.91013729 1606.89279962 11926.3983883 731790.306023 1707.29937394 1639.5200294 12058.2352206 737385.478242 1668.62225424 1686.01789231 12188.1471876 724925.570296 1629.89170981 1803.42508115 12316.0879364 718230.181989 1591.12065092 1659.09682234 12442.0117591 715569.018945 1552.32196116 1506.17529533 12565.8736129 691907.224214 1513.50849213 1522.69202674 12687.6291388 680143.616685 1474.69305816 1611.01144113 12807.2346811 678850.063985 1435.88843102 1572.27478387 12924.6473063 666823.40146 1397.1073347 1605.21741916 13039.8248215 659350.265077 1358.36244023 1516.93916696 13152.7257925 645403.411648 1319.66636043 1260.87328387 13263.3095621 633678.838694 1281.03164487 1200.88701074 13371.5362671 625887.382673 1242.47077471 1401.75652457 13477.3668559 620120.226215 1203.99615765 1367.53874852 13580.7631057 599513.346758 1165.62012291 1175.23217688 13681.6876383 586944.476073 1127.35491629 1188.48674122 13780.1039368 573508.647033 1089.21269522 1060.51283775 13875.9763614 559891.024487 1051.20552386 1147.84616246 13969.2701648 551037.51764 1013.34536833 864.838152184 14059.9515072 538111.996063 975.644091894 737.108963365 14147.9874711 510729.970409 938.113450276 829.335495827 14233.3460754 498534.216498 900.765086976 997.594815113 14315.9962896 490949.301784 863.610528689 1104.69538432 14395.9080471 471251.286729 826.661180762 873.613878892 14473.0522582 456098.07054 789.928322725 585.937760675 14547.4008229 449132.01846 753.423103883 621.368847983 14618.926643 448576.031521 717.156538979 569.562981758 14687.6036342 449475.368264 681.139503923 953.272621715 14753.4067369 463375.876392 645.382731598 788.340278154 14816.3119278 466124.986256 609.896807732 663.485948782 14876.2962295 475503.701335 574.692166853 655.398520941 14933.3377216 477847.612586 539.779088317 612.324693702 14987.4155492 479886.31692 505.167692412 627.176205293 15038.5099327 485597.261137 470.86793655 300.606178123 15086.6021761 498337.950737 436.889611533 812.177558638 15131.6746753 497985.84981 403.242337906 376.229244477 15173.7109257 493146.368272 369.9355624 622.171610241 15212.6955294 518663.452786 336.978554448 246.84279124 15248.6142019 507814.110144 304.380402809 167.790110282 15281.4537786 512101.981473 272.15001226 628.023734357 15311.2022199 513816.998174 240.296100398 227.59392127 15337.8486174 521078.021926 208.82719452 577.845621978 15361.3831978 523881.637844 177.751628605 195.387879168 15381.7973277 530612.405008 147.077540388 73.8952086871 15399.0835169 537098.909041 116.812868529 326.883901951 15413.2354224 518707.031032 86.9653498818 559.861724877 15424.2478504 524633.154086 57.542516857 217.030835867 15432.1167589 532370.241447 28.5516948891 262.941716616 15436.8392598 536058.577533 6.32533024769e-12 239.287181192 15438.4136193 527258.573728 3431.27132288 20213.2252419 15514.3203198 510054.481397 3430.92141291 3376.40236758 15512.7382194 511448.974227 3429.87181143 3493.75811299 15507.9924993 507940.462027 3428.12290375 3787.14758445 15500.0849013 512848.408222 3425.67533179 2816.59489021 15489.0183281 504011.506971 3422.52999389 3760.49066237 15474.7968414 509322.253139 3418.68804439 3446.8815588 15457.4256604 507647.416734 3414.1508931 3151.54213146 15436.9111595 500835.544463 3408.92020471 3450.45362876 15413.2608657 499640.475955 3402.99789807 3533.88364883 15386.4834547 499106.743669 3396.38614531 3529.0131726 15356.5887479 497574.848202 3389.08737095 3746.35874948 15323.5877075 492957.632175 3381.10425079 3674.06332773 15287.4924322 481936.61322 3372.43971077 3454.65747833 15248.3161512 485034.980206 3363.09692569 3200.36519648 15206.0732194 482457.39894 3353.0793178 3231.17489639 15160.7791104 475604.424027 3342.39055536 3073.06491962 15112.4504098 472053.307331 3331.03455096 3362.87842229 15061.1048084 457853.546018 3319.01545991 2992.7696048 15006.761094 459273.213598 3306.33767832 3508.31330407 14949.4391436 452324.17301 3293.00584128 3217.77620887 14889.1599145 447488.847862 3279.02482078 3126.9337113 14825.9454351 442898.046629 3264.3997236 3219.21409751 14759.8187954 431825.038864 3249.13588911 3101.025539 14690.8041372 436093.356801 3233.23888689 3235.73113629 14618.926643 445659.83285 3216.71451436 3244.38358166 14544.2125256 459535.763089 3199.56879423 3291.17084717 14466.6890163 481016.332519 3181.80797187 3153.57812148 14386.3843533 497863.591144 3163.43851262 3287.50007142 14303.3277693 504077.222319 3144.46709895 3172.29344816 14217.5494788 528845.784318 3124.90062758 2922.30857454 14129.0806648 537276.718268 3104.74620644 3283.76246827 14037.9534656 550000.967599 3084.01115165 3079.52898991 13944.2009606 564068.442936 3062.70298428 2939.07572009 13847.8571559 575932.363852 3040.82942712 3001.11216296 13748.9569698 598170.162293 3018.39840131 2983.03891754 13647.5362174 609376.428546 2995.41802293 2895.11757727 13543.6315949 623717.553117 2971.89659944 3017.67293291 13437.2806643 636003.383745 2947.84262612 2826.84752809 13328.5218365 647672.251011 2923.2647824 3311.75960049 13217.3943551 655053.280117 2898.17192806 2820.26636824 13103.938279 664440.013884 2872.5730994 3047.20689197 12988.1944657 675740.904571 2846.4775054 2764.42200086 12870.2045528 695643.830329 2819.89452366 2887.6528311 12750.0109409 689334.038559 2792.83369639 2683.23268148 12627.6567745 717265.154187 2765.3047263 2735.93731384 12503.185924 730991.051354 2737.31747238 2952.15710299 12376.6429662 730966.87857 2708.88194571 2804.98972163 12248.0731657 736556.770862 2680.00830508 2615.07536181 12117.5224551 740342.865972 2650.70685266 2764.0118604 11985.0374151 749509.880142 2620.98802957 2615.89794297 11850.6652546 752912.356856 2590.86241137 2576.51245641 11714.4537905 761847.464652 2560.34070355 2609.13757602 11576.4514271 773428.102151 2529.4337369 2459.13432036 11436.7071354 770140.542207 2498.15246288 2393.32015822 11295.2704318 775159.481001 2466.50794897 2435.66295918 11152.1913573 778722.310113 2434.51137387 2563.44537783 11007.5204559 774431.243648 2402.17402274 2355.92828556 10861.3087528 778088.651354 2369.5072824 2703.17434351 10713.6077331 797444.540539 2336.52263647 2380.35316653 10564.4693192 789693.498943 2303.23166042 2290.81794347 10413.9458492 790035.875404 2269.64601672 2372.23538171 10262.0900542 800158.839518 2235.7774498 2279.91359375 10108.9550362 802181.92736 2201.63778112 2120.16809493 9954.59424516 782291.856367 2167.2389041 2320.70370917 9954.59424516 811457.858261 2132.5927791 2115.71001129 10108.9550362 795913.625868 2097.71142837 2244.97333616 10262.0900542 807221.689206 2062.60693092 1950.14583983 10413.9458492 793916.755885 2027.29141743 2075.36081947 10564.4693192 799176.874037 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13726.2779354 683428.302163 903.927864376 932.051595111 13834.9161688 660598.226683 875.936639838 737.784880667 13941.0554809 650206.145356 848.017136355 871.808539372 14044.6575022 646345.944957 820.178263038 745.532849038 14145.6847469 635212.873705 792.428864709 792.28336923 14244.1006297 613560.134819 764.77771835 868.804637863 14339.8694816 596067.469677 737.233529601 814.446690607 14432.9565648 578613.082078 709.80492928 594.553131428 14523.3280886 565137.358158 682.500469958 668.848254619 14610.9512236 549998.784285 655.328622569 749.843707542 14695.7941159 525956.769811 628.297773065 983.329597713 14777.8259013 518883.412049 601.416219115 677.786638042 14857.0167183 499544.37279 574.692166853 687.192931871 14933.3377216 483813.470163 548.13372767 586.326276966 15006.761094 460430.51424 521.748915062 1007.22405775 15077.2600591 436027.29116 495.545641519 645.593937419 15144.8088926 422606.637775 469.531715475 695.739920163 15209.3829338 428952.248204 443.714838307 859.047470914 15270.9585958 432203.586835 418.102601389 695.654348254 15329.5133765 429302.794947 392.702483203 490.368098589 15385.0258679 436790.758386 367.521846507 500.004370863 15437.4757656 436816.228911 342.567935562 459.74949026 15486.8438776 436844.618804 317.847873414 713.829011469 15533.1121327 442959.006745 293.368659246 219.688008537 15576.2635885 456078.991706 269.137165785 317.364491386 15616.2824386 453145.191746 245.160136772 368.12967125 15653.1540195 453022.2276 221.444184498 200.87793191 15686.8648174 464342.933747 197.99578741 572.163168994 15717.4024734 474450.387385 174.821287769 659.959879904 15744.7557894 473984.920872 151.926889395 143.92836654 15768.9147331 475270.904437 129.31865546 525.076445238 15789.8704419 466636.332753 107.002506366 159.527326445 15807.6152271 470928.269648 84.9842176817 104.453901412 15822.1425771 469107.042318 63.2694181572 307.455597073 15833.4471605 461611.99541 41.8635878058 831.034826507 15841.5248281 471062.25509 20.7720560602 343.377519883 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828343.009919 1834.31907466 1857.99621532 11868.2508203 840207.245073 1812.17622531 1721.34603315 11724.9840934 833332.474377 1789.76520887 1501.95695535 11579.9822953 843439.356595 1767.09395446 1912.17993247 11433.2967281 841551.538505 1744.17047089 2043.63188239 11284.97921 863269.739299 1721.00284327 1454.66565608 11135.0820523 859253.27087 1697.59922952 1847.81101275 10983.6580379 851845.790803 1673.9678569 1788.1923055 10830.7603978 869207.856695 1650.11701849 1762.89277268 10676.4427896 862427.345812 1626.05506971 1624.05409228 10520.7592733 868233.188932 1601.79042468 1693.58702726 10363.7642896 866516.648966 1577.33155271 1537.23805907 10205.5126357 851265.835012 1552.68697467 1444.16036375 10205.5126357 862052.777082 1527.8652594 1288.9887131 10363.7642896 869599.406592 1502.87502005 1380.31570684 10520.7592733 854912.708762 1477.72491046 1522.38620447 10676.4427896 853179.49195 1452.42362148 1459.95225397 10830.7603978 854560.087338 1426.97987732 1498.21301542 10983.6580379 864208.050988 1401.40243187 1385.50763362 11135.0820523 860246.731493 1375.70006499 1589.79294227 11284.97921 852967.601522 1349.88157884 1535.46651856 11433.2967281 851324.417229 1323.95579419 1152.88296104 11579.9822953 840316.594842 1297.93154671 1308.58797126 11724.9840934 839077.754528 1271.81768324 1279.08618811 11868.2508203 819294.356961 1245.62305814 1204.20302095 12009.7317113 821306.938384 1219.35652958 1026.6636883 12149.3765611 814421.728334 1193.02695583 1437.77807504 12287.1357452 803730.382719 1166.64319158 1194.58868872 12422.9602416 801124.44567 1140.21408428 1123.3612329 12556.8016514 794262.888464 1113.74847042 1325.78754249 12688.6122195 783757.018269 1087.25517196 1090.08742244 12818.3448558 776029.033621 1060.74299258 804.540664215 12945.9531547 767122.546893 1034.22071413 1168.87626907 13071.3914157 757779.607641 1007.69709299 914.586904359 13194.6146627 738442.226079 981.180856442 1021.61623359 13315.5786635 725465.460695 954.680699137 969.305355301 13434.239949 719520.43933 928.205279511 1280.96586598 13550.5558318 720788.100577 901.763216261 1118.87524189 13664.4844248 701858.705018 875.36308483 710.465449801 13775.9846591 693351.09852 849.013413927 1215.41140087 13885.0163022 665371.387995 822.722682065 1092.8152131 13991.5399747 648734.087008 796.499314138 772.588792325 14095.5171681 641889.338911 770.35167802 693.161037188 14196.9102609 626162.994803 744.288081201 711.575979885 14295.6825355 621957.737667 718.316767456 928.610456291 14391.7981933 612217.079804 692.445913546 850.695012712 14485.2223711 594612.469768 666.683625962 611.284746016 14575.9211557 574409.138902 641.037937696 831.468039846 14663.8615988 562662.293058 615.516805067 573.361475778 14749.0117311 537404.307939 590.128104571 612.908814049 14831.3405767 518166.436507 564.879629786 625.872523372 14910.8181661 504466.798615 539.779088317 659.077743004 14987.4155492 490132.739396 514.83409878 828.723318293 15061.1048084 465293.085526 490.052187843 612.757575561 15131.8590701 452382.398884 465.440787306 525.316440604 15199.652517 432127.418024 441.007231233 208.635241278 15264.4603989 432333.756835 416.758753135 723.6691549 15326.2590438 435598.152565 392.702483203 440.740072364 15385.0258679 431950.061477 368.845445596 879.60043384 15440.7393857 436523.033481 345.194555775 195.44259715 15493.3792192 441970.459847 321.756617907 373.733321853 15542.9261071 440808.399387 298.538322306 394.189703904 15589.3619126 454803.999947 275.546242949 285.987994453 15632.669632 450846.257501 252.786835037 388.304990838 15672.8334016 453069.066237 230.266432624 460.21137741 15709.838505 456473.609953 207.991246298 233.418905127 15743.6713791 467927.667366 185.967360933 463.590264428 15774.3196206 461288.243989 164.200733494 678.544227214 15801.7719907 468895.121328 142.697190911 240.817943008 15826.0184208 469182.956492 121.462428014 507.637689023 15847.0500161 469471.240832 100.502005535 373.899374292 15864.8590601 467968.601989 79.821348171 831.128434338 15879.4390178 471802.687476 59.4257427211 152.197848661 15890.7845382 468074.350918 39.3203362824 347.045184143 15898.8914574 470629.083367 19.5101345195 72.0574038466 15903.7567996 472489.472644 3.62637846896e-12 555.025558881 15905.3787787 438401.916714 2300.65604212 23645.0109623 15959.6026388 430555.623574 2300.42142864 2296.89699671 15957.97513 471247.555345 2299.71767433 2542.42272508 15953.0932012 470704.187304 2298.54503753 2700.69282082 15944.9586443 471881.572191 2296.90394865 2147.24171474 15933.5744452 475111.876262 2294.79501002 2151.83613589 15918.9447822 479821.382728 2292.21899562 2806.48680947 15901.0750245 467264.667193 2289.17685073 2348.40392405 15879.9717293 471064.465135 2285.66969151 2439.90077287 15855.6426394 463252.958646 2281.69880455 2762.86676636 15828.09668 463734.031971 2277.26564625 2542.4758606 15797.343954 454479.027433 2272.37184225 2321.09474154 15763.3957384 451750.738395 2267.01918666 2115.925514 15726.264479 447034.630869 2261.20964131 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927002.344951 1.73429711047e-11 158.37592002 11928.4446202 920651.178752 2.01278913887e-11 77.6044411411 12077.8097812 914130.827927 1.47137940638e-11 138.138891975 12225.3876595 907256.603326 1.24329936942e-11 300.235565882 12371.1259628 897552.658122 1.69624995543e-11 145.145341518 12514.9729752 900921.868099 1.61287201012e-11 199.684310291 12656.877579 880927.557308 1.49135044212e-11 373.943785228 12796.7892768 873543.648836 1.53821585802e-11 182.693965072 12934.6582133 870244.376818 1.37625078389e-11 206.672831476 13070.4351966 858755.114918 1.48149386117e-11 19.5201150968 13204.0717193 845363.692099 1.44071562198e-11 268.857851126 13335.5199796 846672.756802 1.25931444887e-11 244.239575915 13464.7329016 829581.889153 1.42887218461e-11 215.255684123 13591.664156 818610.887854 1.25004138709e-11 244.034070199 13716.2681793 798837.442807 1.27941285581e-11 457.282306763 13838.5001946 797710.73751 9.58229236646e-12 151.532177003 13958.3162298 780349.491631 1.24326418346e-11 214.471857514 14075.6731374 764471.107695 1.00169949727e-11 242.352506518 14190.5286127 760079.881983 1.21361589556e-11 427.717907795 14302.8412123 735570.448219 7.89783070179e-12 114.311299861 14412.5703722 717845.289075 1.01567196734e-11 748.820141884 14519.6764248 707996.047148 1.07009009693e-11 277.183482986 14624.1206167 699133.294465 1.04039568434e-11 411.465828545 14725.8651252 679791.649382 1.05034109532e-11 263.816575408 14824.8730747 660367.19684 7.70639361584e-12 23.6838532773 14921.1085526 642067.384403 1.10941930266e-11 240.038657865 15014.5366255 623744.602305 7.60895419679e-12 526.579715248 15105.1233533 595534.484151 1.23758797147e-11 196.147119819 15192.8358051 594346.138235 7.70936465227e-12 933.23290657 15277.6420725 560012.358253 7.97523833298e-12 512.949020336 15359.5112843 550100.203959 6.36102005025e-12 398.064273576 15438.4136193 537851.357151 1.06116508257e-11 232.162346534 15514.3203198 503230.303904 6.84416707578e-12 362.290713985 15587.2037034 490875.73581 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In [442]:
x,y = np.meshgrid(range(0,128),range(0,128))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,128)
ax.set_ylim(0,128)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/mpl_toolkits/mplot3d/proj3d.py:141: RuntimeWarning: invalid value encountered in true_divide txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w
In [443]:
y = [z[i,i] for i in range(128)]
plt.xlim(0,128)
plt.xticks(range(0,128,7))
plt.plot(range(128),y)
Out[443]:
[<matplotlib.lines.Line2D at 0x7f3823dea160>]
теперь для маленькой размерности
In [444]:
z = np.zeros(32*32).reshape(32,32)
for i in range (32):
for j in range(32):
z[i,j] = compare(i,j,5, True)
1024.0 1024.0 1024.0 5231.95652753 1022.24983807 2397.36670873 1022.24983807 7532.18878056 1017.01010475 2729.24861023 1017.01010475 7189.31720854 1008.31297894 2439.77144104 1008.31297894 7757.95077776 996.211830972 1423.01106265 996.211830972 6715.6467453 980.78083305 2318.4070171 980.78083305 7659.22725652 962.114418199 1011.9386379 962.114418199 8233.98958502 940.326592021 2254.67012311 940.326592021 9697.10197353 915.550102709 1043.01486087 915.550102709 10720.7874062 887.935475915 2183.26674411 887.935475915 12195.8361719 857.649922096 1053.43849513 857.649922096 13067.664048 824.876124996 2063.18267473 824.876124996 13033.3043755 789.810920836 1069.84127373 789.810920836 13481.5353572 752.663878625 2055.07473756 752.663878625 14692.9702414 713.655792799 1087.61043205 713.655792799 14796.9960188 673.017100021 1934.5522002 673.017100021 14923.6848191 630.986232592 1075.34180612 673.017100021 15444.7226932 587.807921358 1908.25088598 713.655792799 14512.7327609 543.731461372 1144.48161666 752.663878625 14077.6223668 499.008953838 1801.43398912 789.810920836 13720.6523695 453.893537977 1093.99368135 824.876124996 12900.4038976 408.637626506 1707.32785776 857.649922096 12685.9614063 363.491158332 1164.14968009 887.935475915 12263.5761177 318.69988187 1534.2967369 915.550102709 10449.5327711 274.503682086 1211.64021062 940.326592021 9069.6245015 231.134963965 1497.5209059 962.114418199 8441.9659414 188.817104581 1179.59329499 980.78083305 6835.89128981 147.762985356 1326.42377731 996.211830972 7039.72763524 108.173615358 1331.01402152 1008.31297894 7175.75482502 70.2368557421 1011.54037548 1017.01010475 7265.8132644 34.1262545273 2562.38864021 1022.24983807 7499.51885579 7.52318525727e-13 0.0 1024.0 1024.0 1022.24983807 2624.40237528 1022.24983807 7224.31682708
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in double_scalars app.launch_new_instance()
1020.50266741 1171.95673894 1020.50266741 7479.07579905 1015.27188954 1385.253552 1015.27188954 7397.15671824 1006.58962836 1232.43619817 1006.58962836 7304.18802376 994.509162981 1101.95234755 994.509162981 7325.79522057 979.104538834 946.415954948 979.104538834 7945.71430371 960.470027546 993.413580761 960.470027546 8542.16503585 938.719439868 933.527404675 938.719439868 9409.66477047 913.985297107 876.432665337 913.985297107 10421.9824995 886.417867645 851.700840653 886.417867645 10835.7171649 856.184076154 788.196124564 856.184076154 13023.9750523 823.466294144 850.997233163 823.466294144 13647.8205032 788.461021415 692.092910757 788.461021415 14664.125693 751.377468793 705.882041017 751.377468793 14423.2572405 712.436053345 660.303970518 712.436053345 14373.6036421 671.866817884 756.0638308 671.866817884 14912.9336179 629.907787198 648.231194552 671.866817884 14249.6745903 586.803273851 539.615944367 712.436053345 14032.7941017 542.802146816 512.879001358 751.377468793 13965.9647863 498.156076421 551.77666089 788.461021415 13325.4288119 453.117769235 394.380557901 823.466294144 12730.7767059 407.939206566 443.687791338 856.184076154 12296.4641435 362.86990014 363.401845981 886.417867645 12104.5346178 318.155178353 338.582669196 913.985297107 10768.2439404 274.034516174 275.274110261 938.719439868 9786.97093916 230.739921372 286.301075477 960.470027546 8235.52569164 188.494389241 230.575136996 979.104538834 7347.18121212 147.510437356 264.299319899 994.509162981 7360.82052717 107.988731234 164.433026782 1006.58962836 7327.32552572 70.1168109461 269.455898481 1015.27188954 7382.9087224 34.0679278949 155.956115873 1020.50266741 7578.89302205 7.52549930973e-13 168.041705577 1022.24983807 7913.35682343 1017.01010475 2350.01074862 1017.01010475 7157.22773734 1015.27188954 926.340959913 1015.27188954 7534.03399512 1010.06792301 1009.85840148 1010.06792301 7832.8539685 1001.43016439 1015.6292037 1001.43016439 7405.76123719 989.411619697 1074.10895622 989.411619697 7498.85473983 974.085954841 1081.87527228 974.085954841 7577.32109826 955.546958236 1026.84698382 955.546958236 8810.83242218 933.907857275 745.579150013 933.907857275 9109.89962541 909.300494003 891.635027306 909.300494003 10979.4705218 881.874366573 874.727737476 881.874366573 11562.9550192 851.795544052 918.493657372 851.795544052 12312.7949337 819.245463172 826.878593182 819.245463172 13730.7657174 784.419616535 825.939825706 784.419616535 13888.1767851 747.526142619 653.980248305 747.526142619 13550.8162734 708.784328701 658.038250175 708.784328701 14248.9315392 668.423038467 644.26472498 668.423038467 14116.171172 626.679076664 639.209391109 668.423038467 14444.8592123 583.795503587 496.837275118 708.784328701 14826.9647458 540.019912583 491.50770022 747.526142619 14220.6399697 495.602683998 525.888407544 784.419616535 13578.6401601 450.795229105 433.644022036 819.245463172 13473.4056843 405.848237634 414.7484383 851.795544052 12245.3840037 361.009942393 393.063393391 881.874366573 12496.1033706 316.524414301 369.292378771 909.300494003 10403.9327271 272.629900852 331.517049945 933.907857275 9373.41791859 229.557220618 298.345303603 955.546958236 8785.85037674 187.528225887 113.863591834 974.085954841 7072.475276 146.754344937 126.610837015 989.411619697 7648.88585527 107.435214733 178.174788901 1001.43016439 7802.93802343 69.7574140777 190.104370387 1010.06792301 7591.21419288 33.8933063393 181.808425831 1015.27188954 7688.40272103 7.53813549289e-13 133.469543415 1017.01010475 7538.83846823 1008.31297894 2374.1608265 1008.31297894 7083.62963298 1006.58962836 780.357441037 1006.58962836 7516.13857079 1001.43016439 888.135862834 1001.43016439 7488.54015068 992.866272949 1032.34665363 992.866272949 7213.55338573 980.950506781 1073.08848863 980.950506781 7147.00716842 965.755901817 951.193080394 965.755901817 7123.03521514 947.37544443 968.019127959 947.37544443 8373.46201249 925.921393728 1062.84514879 925.921393728 9532.40786523 901.524464289 914.733342443 901.524464289 10213.5211965 874.332875807 881.690954315 874.332875807 11831.1923059 844.511277184 819.590034037 844.511277184 12498.2962741 812.239553566 785.411139646 812.239553566 12160.8644275 777.711525769 803.099792833 777.711525769 13507.9636439 741.133552341 788.500713298 741.133552341 14664.2585431 702.723045288 697.416833269 702.723045288 14095.6808993 662.706911133 583.444616693 662.706911133 13576.9752068 621.319929546 615.548807241 662.706911133 14595.1648622 578.803082255 553.158560798 702.723045288 13630.2013603 535.401845273 550.714747982 741.133552341 13902.3368095 491.364457776 467.05258743 777.711525769 13691.4975731 446.940181054 461.569187396 812.239553566 12710.6009379 402.377561024 484.986695851 844.511277184 13014.7815067 357.922707691 352.235068815 874.332875807 10909.6078561 313.817604762 361.895321764 901.524464289 10896.5159721 270.298462319 255.262233689 925.921393728 8814.83476547 227.594125051 229.724627707 947.37544443 7785.05858988 185.924548042 190.798674775 965.755901817 7327.8151827 145.499351505 188.250247066 980.950506781 6551.85660711 106.51646518 306.800425426 992.866272949 7349.45245285 69.1608723093 218.514947197 1001.43016439 7166.95768704 33.603462268 227.250894684 1006.58962836 7140.87457719 7.82513496454e-13 38.6064629514 1008.31297894 7535.02738006 996.211830972 1280.38537326 996.211830972 6972.12613091 994.509162981 944.846205703 994.509162981 7452.80122547 989.411619697 1001.02983473 989.411619697 7371.33935888 980.950506781 1103.8840313 980.950506781 7627.74896896 969.177746259 1016.20499997 969.177746259 7318.50866389 954.165497535 886.863648051 954.165497535 6881.31787495 936.005631015 878.949786468 936.005631015 7952.9962842 914.809058544 890.17977611 914.809058544 9227.26213696 890.704925944 861.045091139 890.704925944 9590.46498243 863.839674069 817.671946267 863.839674069 10110.9444476 834.375975805 794.725743963 834.375975805 11764.3304505 802.491557429 842.484325524 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In [445]:
x,y = np.meshgrid(range(0,32),range(0,32))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,32)
ax.set_ylim(0,32)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/mpl_toolkits/mplot3d/proj3d.py:141: RuntimeWarning: invalid value encountered in true_divide txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w
In [446]:
y = [z[i,i] for i in range(32)]
plt.xlim(0,32)
plt.xticks(range(0,32,7))
plt.plot(range(32),y)
Out[446]:
[<matplotlib.lines.Line2D at 0x7f3823872550>]
In [447]:
x,y = np.meshgrid(range(1,21),range(1,21))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z[1:21,1:21])
ax.set_zlim(0, 2)
ax.set_xlim(1,21)
ax.set_ylim(1,21)
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
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